72474912 has 60 divisors (see below), whose sum is σ = 213154326. Its totient is φ = 24157440.

The previous prime is 72474889. The next prime is 72474917. The reversal of 72474912 is 21947427.

It can be written as a sum of positive squares in only one way, i.e., 67963536 + 4511376 = 8244^2 + 2124^2 .

It is a super-2 number, since 2×72474912² = 10505225738815488, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (72474917) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 11389 + ... + 16572.

Almost surely, 2^72474912 is an apocalyptic number.

72474912 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

72474912 is an abundant number, since it is smaller than the sum of its proper divisors (140679414).

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

72474912 is a wasteful number, since it uses less digits than its factorization.

72474912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27983 (or 27966 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 72474912 is about 8513.2198374058. The cubic root of 72474912 is about 416.9294430595.

The spelling of 72474912 in words is "seventy-two million, four hundred seventy-four thousand, nine hundred twelve".