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ATQ,
Since, the number 57a61395z2 is divisible by 72, therefore it has to be divisible by 8 and 9, individually
If the number is divisible by 8, therefore last three digits should be divisible by 8
Hence, z = 0, 4 and 8
Now, check divisibility by 9
When z = 0, sum of the digits = 47 + a
Hence, a = 2
When z = 4, sum of the digits = 51 + a
Hence, a = 3
When z = 8, sum of the digits = 55 + a
Hence, a = 1
Therefore, number of possible values of a = 3
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