72765720 has 48 divisors (see below), whose sum is σ = 236489760. Its totient is φ = 19404096.

The previous prime is 72765713. The next prime is 72765739. The reversal of 72765720 is 2756727.

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 11 ways as a sum of consecutive naturals, for example, 100704 + ... + 101423.

It is an arithmetic number, because the mean of its divisors is an integer number (4926870).

Almost surely, 2^72765720 is an apocalyptic number.

It is an amenable number.

72765720 is an abundant number, since it is smaller than the sum of its proper divisors (163724040).

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

72765720 is a wasteful number, since it uses less digits than its factorization.

72765720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202144 (or 202137 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 72765720 is about 8530.2825275603. The cubic root of 72765720 is about 417.4863466198.

It can be divided in two parts, 7276 and 5720, that added together give a square (12996 = 114²).

The spelling of 72765720 in words is "seventy-two million, seven hundred sixty-five thousand, seven hundred twenty".