72996640425 has 96 divisors (see below), whose sum is σ = 148159445760. Its totient is φ = 35048217600.

The previous prime is 72996640369. The next prime is 72996640439. The reversal of 72996640425 is 52404669927.

72996640425 is a `hidden beast` number, since 72 + 9 + 96 + 64 + 0 + 425 = 666.

It is not a de Polignac number, because 72996640425 - 2⁶ = 72996640361 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 125635 + ... + 402215.

It is an arithmetic number, because the mean of its divisors is an integer number (1543327560).

Almost surely, 2^72996640425 is an apocalyptic number.

72996640425 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

72996640425 is an abundant number, since it is smaller than the sum of its proper divisors (75162805335).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72996640425 is a wasteful number, since it uses less digits than its factorization.

72996640425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276640 (or 276629 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 72996640425 in words is "seventy-two billion, nine hundred ninety-six million, six hundred forty thousand, four hundred twenty-five".