72565668 has 108 divisors (see below), whose sum is σ = 220426752. Its totient is φ = 20049120.

The previous prime is 72565657. The next prime is 72565733. The reversal of 72565668 is 86656527.

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 35 ways as a sum of consecutive naturals, for example, 54021 + ... + 55347.

Almost surely, 2^72565668 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 72565668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110213376).

72565668 is an abundant number, since it is smaller than the sum of its proper divisors (147861084).

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

72565668 is a wasteful number, since it uses less digits than its factorization.

72565668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1382 (or 1370 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 72565668 is about 8518.5484679023. The cubic root of 72565668 is about 417.1034024064.

The spelling of 72565668 in words is "seventy-two million, five hundred sixty-five thousand, six hundred sixty-eight".