72579360 has 96 divisors (see below), whose sum is σ = 261297792. Its totient is φ = 16588800.

The previous prime is 72579349. The next prime is 72579361. The reversal of 72579360 is 6397527.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72579361) 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, 7441 + ... + 14160.

It is an arithmetic number, because the mean of its divisors is an integer number (2721852).

Almost surely, 2^72579360 is an apocalyptic number.

72579360 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72579360 is an abundant number, since it is smaller than the sum of its proper divisors (188718432).

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

72579360 is a wasteful number, since it uses less digits than its factorization.

72579360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21626 (or 21618 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 39.

The square root of 72579360 is about 8519.3520880405. The cubic root of 72579360 is about 417.1296343734.

The spelling of 72579360 in words is "seventy-two million, five hundred seventy-nine thousand, three hundred sixty".