The population of a town with an initial population of 64,546 is decreasing at a rate of 3.7% per year.

To find the population after one year, we need to find 3.7% of the initial population and subtract that amount from the initial population.

3.7% of 64,546 is (3.7/100) * 64,546 = 2387.102

So the population after one year is 64,546 - 2387.102 = 62,158.898

Rounding to the nearest whole number, the population after one year is 62,159.