72568580 has 48 divisors (see below), whose sum is σ = 184415616. Its totient is φ = 23416320.

The previous prime is 72568567. The next prime is 72568583. The reversal of 72568580 is 8586527.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (72568583) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 12866 + ... + 17625.

It is an arithmetic number, because the mean of its divisors is an integer number (3841992).

Almost surely, 2^72568580 is an apocalyptic number.

72568580 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72568580 is an abundant number, since it is smaller than the sum of its proper divisors (111847036).

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

72568580 is a wasteful number, since it uses less digits than its factorization.

72568580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30524 (or 30522 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 41.

The square root of 72568580 is about 8518.7193873258. The cubic root of 72568580 is about 417.1089816695.

The spelling of 72568580 in words is "seventy-two million, five hundred sixty-eight thousand, five hundred eighty".