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Q. The number of divisors of $72,2025$ and $1568$ are in

Sequences and Series

Solution:

$72 = 2^3 \times 3^2 $; number of divisors of $72$ are $12$.
$ 2025 = 3^4 \times 5^2 $; number of divisors of $2025$ are $15$.
$ 1568 = 2^5 \times 7^2$ ; number of divisors of $1568$ are $18$.
Now $12, 15,18$ are in $A.P$.