72365760 has 84 divisors (see below), whose sum is σ = 248917968. Its totient is φ = 19296768.

The previous prime is 72365669. The next prime is 72365771. The reversal of 72365760 is 6756327.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9684 + ... + 15443.

Almost surely, 2^72365760 is an apocalyptic number.

It is an amenable number.

72365760 is an abundant number, since it is smaller than the sum of its proper divisors (176552208).

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

72365760 is a wasteful number, since it uses less digits than its factorization.

72365760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25150 (or 25137 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 72365760 is about 8506.8066864129. The cubic root of 72365760 is about 416.7200301431.

It can be divided in two parts, 7236 and 5760, that added together give a square (12996 = 114²).

The spelling of 72365760 in words is "seventy-two million, three hundred sixty-five thousand, seven hundred sixty".