KEMPER TAX EXEMPT INSURED INCOME TR SER A-72 & MUL ST SER 30
24F-2NT, 1994-12-01
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                               November 30, 1994



Securities and Exchange Commission
450 Fifth Street, N.W.
Washington, D.C. 20549-1004

     Re:  RULE 24F-2 NOTICE FOR KEMPER TAX-EXEMPT INSURED INCOME
TRUST SERIES A-72, & MULTI-STATE SERIES 30 
          FILE NO. 33-37178

Gentlemen:

     As Sponsor of the above mentioned trust, we are submitting
the following
information required by Rule 24f-2 promulgated under the
Investment Company Act
of 1940, as amended.  We also have wired funds in payment of the
fee prescribed
by subsection (c) and the opinion of counsel specified in
subsection (b)(1)(v)
of said Rule.

     (i)   Fiscal year for which notice is filed: Year Ended
SEPTEMBER 30,1993

     (ii)  Number of securities registered other than pursuant to
Rule 24f-2 
           and remaining unsold at the beginning of the above
fiscal 
           year: 0 UNITS

     (iii) Number of securities registered other than pursuant to
Rule 24f-2
           during the above fiscal year: 0 UNITS

     (iv)  Number of securities sold during the above fiscal
year: 976

     (v)   Number of securities sold in reliance upon
registration
           pursuant to Rule 24f-2 during the above fiscal year: 
976

     ----------------------------

     (1)   Aggregate sales price to the public of
           securities sold in reliance upon
           registration pursuant to Rule 24f-2                   

 $983,991

     (2)   Less actual aggregate redemption of
           repurchase price of securities redeemed
           or repurchased during the fiscal year                 

 $857,727

     (3)   Plus the actual aggregate redemption or
           repurchase price of securities previously
           applied in filings pursuant to
           Section 24f-2                                         

  $0      
                                                                 

  -------
                                                                 

  $126,265
           Amount of filing fee computed at one
           thirtysecond of one percent (1/29 of 1%)
           of above total:                                       

  $28.56
                                                                 

  -------
                                      Very truly yours,
 
                                      KEMPER SECURITIES GROUP,
INC.

                                   By  
                                     
- - - -----------------------------   
                                      Michael J. Thoms

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                               November 30, 1994


Kemper Securities Inc.
77 West Wacker Drive
5th Floor
Chicago, IL 60601


     Re:  Kemper Tax-Exempt Insured Income Trust Series A-72,
          & Multi-State Series 30
          File No. 33-37178

Gentlemen:

  We have served as counsel for Kemper Securities, Inc. as
Sponsor and Depositor of the above described Trust, in connection
with the
preparation, execution and delivery of a Trust Indenture and
Agreement
relating to such Fund pursuant to which the Depositor has
delivered 
to and deposited the Securities listed in Schedule A to the Trust

Indenture and Agreement with the Trustee and pursuant to which
the 
Trustee has issued to or on the order of the Depositor a
certificate 
or certificates representing Units of fractional undivided
interest
in and ownership of the Fund created under said Trust Indenture
and Agreement.

  In connection therewith, we have examined such pertinent
records and documents and matters of law as we have deemed
necessary 
in order to enable us to express to opinions hereinafter set
forth.

  Based upon the foregoing, we are of the opinion that the
certificates evidencing the Units in the Fund constitute valid
and 
binding obligations of the Fund in accordance with the terms
thereof.

                            Respectfully submitted,



                            CHAPMAN AND CUTLER

<PAGE>


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