72576900 has 108 divisors (see below), whose sum is σ = 248202864. Its totient is φ = 17592000.

The previous prime is 72576899. The next prime is 72576913. The reversal of 72576900 is 967527.

It is a super-2 number, since 2×72576900² = 10534812827220000, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 35 ways as a sum of consecutive naturals, for example, 6235 + ... + 13565.

Almost surely, 2^72576900 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 72576900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124101432).

72576900 is an abundant number, since it is smaller than the sum of its proper divisors (175625964).

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

72576900 is a wasteful number, since it uses less digits than its factorization.

72576900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7362 (or 7352 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 72576900 is about 8519.2077096406. The cubic root of 72576900 is about 417.1249215988.

The spelling of 72576900 in words is "seventy-two million, five hundred seventy-six thousand, nine hundred".