72970416 has 40 divisors (see below), whose sum is σ = 209453360. Its totient is φ = 24323328.

The previous prime is 72970397. The next prime is 72970423. The reversal of 72970416 is 61407927.

It is a happy number.

It is a super-2 number, since 2×72970416² = 10649363222426112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 84025 + ... + 84888.

It is an arithmetic number, because the mean of its divisors is an integer number (5236334).

Almost surely, 2^72970416 is an apocalyptic number.

It is an amenable number.

72970416 is an abundant number, since it is smaller than the sum of its proper divisors (136482944).

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

72970416 is a wasteful number, since it uses less digits than its factorization.

72970416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168930 (or 168918 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 72970416 is about 8542.2722972286. The cubic root of 72970416 is about 417.8774546715.

The spelling of 72970416 in words is "seventy-two million, nine hundred seventy thousand, four hundred sixteen".