72588900 has 36 divisors (see below), whose sum is σ = 210024752. Its totient is φ = 19356960.

The previous prime is 72588899. The next prime is 72588917. The reversal of 72588900 is 988527.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 120682 + ... + 121281.

Almost surely, 2^72588900 is an apocalyptic number.

It is an amenable number.

72588900 is an abundant number, since it is smaller than the sum of its proper divisors (137435852).

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

72588900 is a wasteful number, since it uses less digits than its factorization.

72588900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241980 (or 241973 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 72588900 is about 8519.9119713762. The cubic root of 72588900 is about 417.1479097360.

The spelling of 72588900 in words is "seventy-two million, five hundred eighty-eight thousand, nine hundred".