72809560 has 32 divisors (see below), whose sum is σ = 165902400. Its totient is φ = 28753920.

The previous prime is 72809551. The next prime is 72809573. The reversal of 72809560 is 6590827.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8361 + ... + 14680.

It is an arithmetic number, because the mean of its divisors is an integer number (5184450).

Almost surely, 2^72809560 is an apocalyptic number.

It is an amenable number.

72809560 is an abundant number, since it is smaller than the sum of its proper divisors (93092840).

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

72809560 is a wasteful number, since it uses less digits than its factorization.

72809560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23131 (or 23127 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 72809560 is about 8532.8518093308. The cubic root of 72809560 is about 417.5701723875.

The spelling of 72809560 in words is "seventy-two million, eight hundred nine thousand, five hundred sixty".