72579600 has 90 divisors (see below), whose sum is σ = 251883866. Its totient is φ = 19353600.

The previous prime is 72579541. The next prime is 72579623. The reversal of 72579600 is 697527.

It can be written as a sum of positive squares in 3 ways, for example, as 7551504 + 65028096 = 2748^2 + 8064^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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 (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6481 + ... + 13680.

Almost surely, 2^72579600 is an apocalyptic number.

It is an amenable number.

72579600 is an abundant number, since it is smaller than the sum of its proper divisors (179304266).

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

72579600 is a wasteful number, since it uses less digits than its factorization.

72579600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20185 (or 20171 counting only the distinct ones).

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

The square root of 72579600 is about 8519.3661736070. The cubic root of 72579600 is about 417.1300941506.

The spelling of 72579600 in words is "seventy-two million, five hundred seventy-nine thousand, six hundred".