72164304 has 40 divisors (see below), whose sum is σ = 207139520. Its totient is φ = 24054624.

The previous prime is 72164297. The next prime is 72164333. The reversal of 72164304 is 40346127.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 83092 + ... + 83955.

It is an arithmetic number, because the mean of its divisors is an integer number (5178488).

Almost surely, 2^72164304 is an apocalyptic number.

It is an amenable number.

72164304 is an abundant number, since it is smaller than the sum of its proper divisors (134975216).

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

72164304 is a wasteful number, since it uses less digits than its factorization.

72164304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167064 (or 167052 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 72164304 is about 8494.9575631665. The cubic root of 72164304 is about 416.3329742877.

It can be divided in two parts, 721 and 64304, that added together give a square (65025 = 255²).

The spelling of 72164304 in words is "seventy-two million, one hundred sixty-four thousand, three hundred four".