72970912 has 48 divisors (see below), whose sum is σ = 165110400. Its totient is φ = 31097088.

The previous prime is 72970903. The next prime is 72970913. The reversal of 72970912 is 21907927.

It is a super-2 number, since 2×72970912² = 10649507996223488, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72970913) by changing a digit.

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, 43758 + ... + 45394.

It is an arithmetic number, because the mean of its divisors is an integer number (3439800).

Almost surely, 2^72970912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72970912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82555200).

72970912 is an abundant number, since it is smaller than the sum of its proper divisors (92139488).

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

72970912 is a wasteful number, since it uses less digits than its factorization.

72970912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1853 (or 1845 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 37.

The square root of 72970912 is about 8542.3013292672. The cubic root of 72970912 is about 417.8784014787.

The spelling of 72970912 in words is "seventy-two million, nine hundred seventy thousand, nine hundred twelve".