72183960 has 80 divisors (see below), whose sum is σ = 242629200. Its totient is φ = 19248192.

The previous prime is 72183949. The next prime is 72183967. The reversal of 72183960 is 6938127.

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 (72183967) 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 19 ways as a sum of consecutive naturals, for example, 7900 + ... + 14379.

It is an arithmetic number, because the mean of its divisors is an integer number (3032865).

Almost surely, 2^72183960 is an apocalyptic number.

It is an amenable number.

72183960 is an abundant number, since it is smaller than the sum of its proper divisors (170445240).

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

72183960 is a wasteful number, since it uses less digits than its factorization.

72183960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22302 (or 22289 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 72183960 is about 8496.1144060094. The cubic root of 72183960 is about 416.3707708972.

It can be divided in two parts, 721 and 83960, that added together give a square (84681 = 291²).

The spelling of 72183960 in words is "seventy-two million, one hundred eighty-three thousand, nine hundred sixty".