72625896 has 128 divisors (see below), whose sum is σ = 233798400. Its totient is φ = 20715264.

The previous prime is 72625879. The next prime is 72625907. The reversal of 72625896 is 69852627.

72625896 is a `hidden beast` number, since 7 + 2 + 62 + 589 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122176 + ... + 122768.

It is an arithmetic number, because the mean of its divisors is an integer number (1826550).

Almost surely, 2^72625896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72625896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116899200).

72625896 is an abundant number, since it is smaller than the sum of its proper divisors (161172504).

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

72625896 is an equidigital number, since it uses as much as digits as its factorization.

72625896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 605 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 72625896 is about 8522.0828440001. The cubic root of 72625896 is about 417.2187662213.

The spelling of 72625896 in words is "seventy-two million, six hundred twenty-five thousand, eight hundred ninety-six".