NUVEEN UNIT TRUSTS SERIES 72, 497J, 1999-12-07

NUVEEN UNIT TRUSTS SERIES 72
497J, 1999-12-07

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                                                               December 7, 1999

(ON CHAPMAN AND CUTLER LETTERHEAD)

SECURITIES AND EXCHANGE COMMISSION
450 FIFTH STREET, N.W.
WASHINGTON, D.C. 20549

RE:  Nuveen Unit Trusts, Series 72

     File No. 333-91021

     Dear Sir or Madam:

     On behalf of John Nuveen & Co. Incorporated, in accordance with the
     provisions of Rule 497(j) of Regulation C under the Securities Act of 1933
     (the "Securities Act"), this letter serves to certify that the most recent
     amendment to the Registration Statement on Form S-6 (the "Registration
     Statement") of the above-referenced Series does not differ from that which
     would have been filed pursuant to Rule 497(b) of the Securities Act.
     Amendment No. 2, which was the most recent amendment to the Registration
     Statement, was filed electronically with the Commission on November 30,
     1999.

     Very truly yours,

     /s/ Chapman and Cutler

     Chapman and Cutler