72608760 has 96 divisors (see below), whose sum is σ = 269699040. Its totient is φ = 16595712.

The previous prime is 72608737. The next prime is 72608813. The reversal of 72608760 is 6780627.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11887 + ... + 16926.

It is an arithmetic number, because the mean of its divisors is an integer number (2809365).

Almost surely, 2^72608760 is an apocalyptic number.

72608760 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72608760 is an abundant number, since it is smaller than the sum of its proper divisors (197090280).

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

72608760 is a wasteful number, since it uses less digits than its factorization.

72608760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28837 (or 28830 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 72608760 is about 8521.0773966676. The cubic root of 72608760 is about 417.1859495376.

The spelling of 72608760 in words is "seventy-two million, six hundred eight thousand, seven hundred sixty".