72558360 has 96 divisors (see below), whose sum is σ = 269511840. Its totient is φ = 16584192.

The previous prime is 72558349. The next prime is 72558361. The reversal of 72558360 is 6385527.

72558360 is a `hidden beast` number, since 72 + 5 + 583 + 6 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72558361) 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 23 ways as a sum of consecutive naturals, for example, 11877 + ... + 16916.

It is an arithmetic number, because the mean of its divisors is an integer number (2807415).

Almost surely, 2^72558360 is an apocalyptic number.

72558360 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72558360 is an abundant number, since it is smaller than the sum of its proper divisors (196953480).

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

72558360 is a wasteful number, since it uses less digits than its factorization.

72558360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28817 (or 28810 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 72558360 is about 8518.1195107841. The cubic root of 72558360 is about 417.0893999445.

The spelling of 72558360 in words is "seventy-two million, five hundred fifty-eight thousand, three hundred sixty".