312082672 has 40 divisors (see below), whose sum is σ = 663051312. Its totient is φ = 141120000.

The previous prime is 312082663. The next prime is 312082681. The reversal of 312082672 is 276280213.

It is an interprime number because it is at equal distance from previous prime (312082663) and next prime (312082681).

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30172 + ... + 39172.

Almost surely, 2^312082672 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 312082672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331525656).

312082672 is an abundant number, since it is smaller than the sum of its proper divisors (350968640).

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

312082672 is a wasteful number, since it uses less digits than its factorization.

312082672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9217 (or 9211 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 312082672 is about 17665.8617678278. The cubic root of 312082672 is about 678.3021889177.

The spelling of 312082672 in words is "three hundred twelve million, eighty-two thousand, six hundred seventy-two".