312367272 has 32 divisors (see below), whose sum is σ = 892478400. Its totient is φ = 89247744.

The previous prime is 312367249. The next prime is 312367291. The reversal of 312367272 is 272763213.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 929497 + ... + 929832.

It is an arithmetic number, because the mean of its divisors is an integer number (27889950).

Almost surely, 2^312367272 is an apocalyptic number.

It is an amenable number.

312367272 is an abundant number, since it is smaller than the sum of its proper divisors (580111128).

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

312367272 is a wasteful number, since it uses less digits than its factorization.

312367272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1859345 (or 1859341 counting only the distinct ones).

The product of its digits is 21168, while the sum is 33.

The square root of 312367272 is about 17673.9150162040. The cubic root of 312367272 is about 678.5083160846.

The spelling of 312367272 in words is "three hundred twelve million, three hundred sixty-seven thousand, two hundred seventy-two".