72112313 has 8 divisors (see below), whose sum is σ = 88753728. Its totient is φ = 57055824.

The previous prime is 72112303. The next prime is 72112319. The reversal of 72112313 is 31321127.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2^k-72112313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72112319) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 396131 + ... + 396312.

It is an arithmetic number, because the mean of its divisors is an integer number (11094216).

Almost surely, 2^72112313 is an apocalyptic number.

It is an amenable number.

72112313 is a deficient number, since it is larger than the sum of its proper divisors (16641415).

72112313 is a wasteful number, since it uses less digits than its factorization.

72112313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792463.

The product of its digits is 252, while the sum is 20.

The square root of 72112313 is about 8491.8969023417. The cubic root of 72112313 is about 416.2329674664.

The spelling of 72112313 in words is "seventy-two million, one hundred twelve thousand, three hundred thirteen".