WARNING: THE EDGAR SYSTEM ENCOUNTERED ERROR(S) WHILE PROCESSING THIS SCHEDULE.
<TABLE> <S> <C>
<ARTICLE> 6
<RESTATED>
<CIK> 0000883045
<NAME> NUVEEN TAX-FREE UNIT TRUST
<SERIES> Series 719
<NAME> GEORGIA INSURED TRUST
<NUMBER> 35
<MULTIPLIER> 1
<CURRENCY> U.S. DOLLARS
<FISCAL-YEAR-END> FEB-29-2000
<PERIOD-START> MAR-01-1999
<PERIOD-END> FEB-29-2000
<PERIOD-TYPE> YEAR
<EXCHANGE-RATE> 1
<INVESTMENTS-AT-COST> 2,856,493
<INVESTMENTS-AT-VALUE> 2,808,387
<RECEIVABLES> 41,565
<ASSETS-OTHER> 881
<OTHER-ITEMS-ASSETS> 0
<TOTAL-ASSETS> 2,850,833
<PAYABLE-FOR-SECURITIES> 0
<SENIOR-LONG-TERM-DEBT> 0
<OTHER-ITEMS-LIABILITIES> 634
<TOTAL-LIABILITIES> 634
<SENIOR-EQUITY> 0
<PAID-IN-CAPITAL-COMMON> 0
<SHARES-COMMON-STOCK> 30,176
<SHARES-COMMON-PRIOR> 30,775
<ACCUMULATED-NII-CURRENT> 45,198
<OVERDISTRIBUTION-NII> 0
<ACCUMULATED-NET-GAINS> 9,980
<OVERDISTRIBUTION-GAINS> 0
<ACCUM-APPREC-OR-DEPREC> -48,106
<NET-ASSETS> 2,850,199
<DIVIDEND-INCOME> 0
<INTEREST-INCOME> 165,318
<OTHER-INCOME> 0
<EXPENSES-NET> 4,633
<NET-INVESTMENT-INCOME> 160,685
<REALIZED-GAINS-CURRENT> -54
<APPREC-INCREASE-CURRENT> -331,576
<NET-CHANGE-FROM-OPS> -170,945
<EQUALIZATION> 0
<DISTRIBUTIONS-OF-INCOME> 161,697
<DISTRIBUTIONS-OF-GAINS> 0
<DISTRIBUTIONS-OTHER> 0
<NUMBER-OF-SHARES-SOLD> 35,000
<NUMBER-OF-SHARES-REDEEMED> 4,824
<SHARES-REINVESTED> 0
<NET-CHANGE-IN-ASSETS> -390,143
<ACCUMULATED-NII-PRIOR> 46,209
<ACCUMULATED-GAINS-PRIOR> 10,035
<OVERDISTRIB-NII-PRIOR> 0
<OVERDIST-NET-GAINS-PRIOR> 0
<GROSS-ADVISORY-FEES> 0
<INTEREST-EXPENSE> 0
<GROSS-EXPENSE> 0
<AVERAGE-NET-ASSETS> 0
<PER-SHARE-NAV-BEGIN> 0
<PER-SHARE-NII> 0
<PER-SHARE-GAIN-APPREC> 0
<PER-SHARE-DIVIDEND> 0
<PER-SHARE-DISTRIBUTIONS> 0
<RETURNS-OF-CAPITAL> 0
<PER-SHARE-NAV-END> 0
<EXPENSE-RATIO> 0
[AVG-DEBT-OUTSTANDING] 0
[AVG-DEBT-PER-SHARE] 0
</TABLE>