72966016 has 16 divisors (see below), whose sum is σ = 145362240. Its totient is φ = 36482944.

The previous prime is 72965999. The next prime is 72966053. The reversal of 72966016 is 61066927.

It is a tau number, because it is divible by the number of its divisors (16).

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 284896 + ... + 285151.

It is an arithmetic number, because the mean of its divisors is an integer number (9085140).

Almost surely, 2^72966016 is an apocalyptic number.

It is an amenable number.

72966016 is a deficient number, since it is larger than the sum of its proper divisors (72396224).

72966016 is an equidigital number, since it uses as much as digits as its factorization.

72966016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570061 (or 570049 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The square root of 72966016 is about 8542.0147506311. The cubic root of 72966016 is about 417.8690553874.

The spelling of 72966016 in words is "seventy-two million, nine hundred sixty-six thousand, sixteen".