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Date: 29 August 1972
Summary
Final 1
| Rank | Name | Nation | Time |
| 1 | Sandra Neilson | USA | 58.59 |
| 2 | Shirley Babashoff | USA | 59.02 |
| 3 | Shane Gould | AUS | 59.06 |
| 4 | Gabriele Wetzko | GDR | 59.21 |
| 5 | Heidi Reineck | FRG | 59.73 |
| 6 | Andrea Eife | GDR | 59.91 |
| 7 | Magdolna Patoh | HUN | 1:00.02 |
| 8 | Enith Brigitha | NED | 1:00.09 |