72498498306025 has 81 divisors (see below), whose sum is σ = 99577124770053. Its totient is φ = 52321907140800.

The previous prime is 72498498306019. The next prime is 72498498306053. The reversal of 72498498306025 is 52060389489427.

The square root of 72498498306025 is 8514605.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 21637410469609 + 50861087836416 = 4651603^2 + 7131696^2 .

It is not a de Polignac number, because 72498498306025 - 2¹¹ = 72498498303977 is a prime.

It is a super-3 number, since 3×72498498306025³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 69777187456 + ... + 69777188494.

Almost surely, 2^{72498498306025} is an apocalyptic number.

72498498306025 is the 8514605-th square number.

72498498306025 is the 4257303-rd centered octagonal number.

It is an amenable number.

72498498306025 is a deficient number, since it is larger than the sum of its proper divisors (27078626464028).

72498498306025 is an equidigital number, since it uses as much as digits as its factorization.

72498498306025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2408 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 67.

The spelling of 72498498306025 in words is "seventy-two trillion, four hundred ninety-eight billion, four hundred ninety-eight million, three hundred six thousand, twenty-five".