72733320 has 96 divisors (see below), whose sum is σ = 257886720. Its totient is φ = 17631360.

The previous prime is 72733301. The next prime is 72733333. The reversal of 72733320 is 2333727.

It is a happy 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 23 ways as a sum of consecutive naturals, for example, 5224 + ... + 13143.

It is an arithmetic number, because the mean of its divisors is an integer number (2686320).

Almost surely, 2^72733320 is an apocalyptic number.

It is an amenable number.

72733320 is an abundant number, since it is smaller than the sum of its proper divisors (185153400).

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

72733320 is a wasteful number, since it uses less digits than its factorization.

72733320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18395 (or 18388 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 27.

The square root of 72733320 is about 8528.3831996458. The cubic root of 72733320 is about 417.4243734556.

The spelling of 72733320 in words is "seventy-two million, seven hundred thirty-three thousand, three hundred twenty".