1. (1963 Kyiv Mathematical Olympiad) Given that the number 32 ※ 35717 ※ can be divided by 72, find the digits represented by these two asterisks.
1. Since $32 \% 35717$ ※ can be divided by 72, it can be divided by 8 and 9.

If a number can be divided by 8, then the last three digits of this number can be divided by 8. Clearly, the last three digits are 176, so the last ※ is 6.
If a number can be divided by 9, then the sum of the digits of this number can be divided by 9, that is,
$$
3+2+※+3+5+7+1+7+6=34+※,
$$

thus the ※ is 2.
Therefore, the two star digits are 2 and 6.