72255680 has 56 divisors (see below), whose sum is σ = 196644768. Its totient is φ = 24772608.

The previous prime is 72255679. The next prime is 72255697. The reversal of 72255680 is 8655227.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 72255680.

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, 13889 + ... + 18368.

Almost surely, 2^72255680 is an apocalyptic number.

72255680 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72255680 is an abundant number, since it is smaller than the sum of its proper divisors (124389088).

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

72255680 is a wasteful number, since it uses less digits than its factorization.

72255680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32281 (or 32271 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 35.

The square root of 72255680 is about 8500.3341110806. The cubic root of 72255680 is about 416.5086234390.

The spelling of 72255680 in words is "seventy-two million, two hundred fifty-five thousand, six hundred eighty".