72605772 has 36 divisors (see below), whose sum is σ = 185225040. Its totient is φ = 23978592.

The previous prime is 72605737. The next prime is 72605791. The reversal of 72605772 is 27750627.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 5328 + ... + 13175.

It is an arithmetic number, because the mean of its divisors is an integer number (5145140).

Almost surely, 2^72605772 is an apocalyptic number.

It is an amenable number.

72605772 is an abundant number, since it is smaller than the sum of its proper divisors (112619268).

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

72605772 is a wasteful number, since it uses less digits than its factorization.

72605772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18622 (or 18617 counting only the distinct ones).

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

The square root of 72605772 is about 8520.9020649225. The cubic root of 72605772 is about 417.1802267722.

The spelling of 72605772 in words is "seventy-two million, six hundred five thousand, seven hundred seventy-two".