+149 How many five-digit numbers of the form \(\overline{32x5y}\) are divisible by 72?
to be divisible by 72, it has to be divisible by 8 and 9. To be divisible by 9, 3 + 2 + x + 5 + y has to be divisible by 9. So, 10+x+y is divisible by 9. Then, x5y has to be divisible by 8. Now, if you list it all out, you should get an answer.
