I actually have a pretty sensitive sense of smell.
The smell is caused by bacteria blooming. If you’re using good detergent, it kills the bacteria. Likewise, soap is bipolar, so one end of the molecule grips the oils you excrete and grime you pick up, and the hydrophilic end gets it all yoinked off during the rinse.
Just fyi the term for molecules with hydrophobic and hydrophilic regions is amphipathic not bipolar.