72496100 has 18 divisors (see below), whose sum is σ = 157316754. Its totient is φ = 28998400.

The previous prime is 72496091. The next prime is 72496117. The reversal of 72496100 is 169427.

It can be written as a sum of positive squares in 3 ways, for example, as 178084 + 72318016 = 422^2 + 8504^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 362381 + ... + 362580.

Almost surely, 2^72496100 is an apocalyptic number.

It is an amenable number.

72496100 is an abundant number, since it is smaller than the sum of its proper divisors (84820654).

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

72496100 is a wasteful number, since it uses less digits than its factorization.

72496100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724975 (or 724968 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 72496100 is about 8514.4641639976. The cubic root of 72496100 is about 416.9700687973.

The spelling of 72496100 in words is "seventy-two million, four hundred ninety-six thousand, one hundred".