312849072 has 30 divisors (see below), whose sum is σ = 875543292. Its totient is φ = 104282976.

The previous prime is 312849049. The next prime is 312849073. The reversal of 312849072 is 270948213.

It is a super-2 number, since 2×312849072² = 195749083702522368, 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 (312849073) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 1086138 + ... + 1086425.

Almost surely, 2^312849072 is an apocalyptic number.

It is an amenable number.

312849072 is an abundant number, since it is smaller than the sum of its proper divisors (562694220).

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

312849072 is a wasteful number, since it uses less digits than its factorization.

312849072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2172577 (or 2172568 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 312849072 is about 17687.5400211561. The cubic root of 312849072 is about 678.8569840419.

The spelling of 312849072 in words is "three hundred twelve million, eight hundred forty-nine thousand, seventy-two".