There was a replicated experiment done here not too long ago on stropping. The results seem to indicate that 60 passes on the strop is about the optimum to keep the razor sharp the longest time.

When I'm done shaving, I rinse the razor in the hottest water I have (keep it away from the scales), dry thoroughly, and leave it open on a shelf to finish drying throughout the day. I've found that if you have adequate ventillation in your bathroom, nothing else is required.

Ed