72966216 has 32 divisors (see below), whose sum is σ = 185142240. Its totient is φ = 23958528.

The previous prime is 72966209. The next prime is 72966241. The reversal of 72966216 is 61266927.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21081 + ... + 24296.

It is an arithmetic number, because the mean of its divisors is an integer number (5785695).

Almost surely, 2^72966216 is an apocalyptic number.

It is an amenable number.

72966216 is an abundant number, since it is smaller than the sum of its proper divisors (112176024).

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

72966216 is a wasteful number, since it uses less digits than its factorization.

72966216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45453 (or 45449 counting only the distinct ones).

The product of its digits is 54432, while the sum is 39.

The square root of 72966216 is about 8542.0264574631. The cubic root of 72966216 is about 417.8694371804.

The spelling of 72966216 in words is "seventy-two million, nine hundred sixty-six thousand, two hundred sixteen".