A perfect cube may end with two zeros.

If a number ends with $5,$ then its cube ends with $5$.

Cube of a number ending with zero has three zeros at its right.

The cube of a single digit number may be a single digit number.

There is no perfect cube which ends with $8$.

The cube of a two-digit number may be a three-digit number.

Find the two-digit number which a square number and also a cubic number.