72333416 has 32 divisors (see below), whose sum is σ = 140659200. Its totient is φ = 34835520.

The previous prime is 72333407. The next prime is 72333433. The reversal of 72333416 is 61433327.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64670 + ... + 65778.

It is an arithmetic number, because the mean of its divisors is an integer number (4395600).

Almost surely, 2^72333416 is an apocalyptic number.

It is an amenable number.

72333416 is a deficient number, since it is larger than the sum of its proper divisors (68325784).

72333416 is a wasteful number, since it uses less digits than its factorization.

72333416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1409 (or 1405 counting only the distinct ones).

The product of its digits is 9072, while the sum is 29.

The square root of 72333416 is about 8504.9054080572. The cubic root of 72333416 is about 416.6579363149.

The spelling of 72333416 in words is "seventy-two million, three hundred thirty-three thousand, four hundred sixteen".