312715072 has 56 divisors (see below), whose sum is σ = 656640800. Its totient is φ = 147350016.

The previous prime is 312715069. The next prime is 312715079. The reversal of 312715072 is 270517213.

312715072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 312715072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312715079) 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, 277903 + ... + 279025.

Almost surely, 2^312715072 is an apocalyptic number.

312715072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312715072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328320400).

312715072 is an abundant number, since it is smaller than the sum of its proper divisors (343925728).

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

312715072 is a wasteful number, since it uses less digits than its factorization.

312715072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1383 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 28.

The square root of 312715072 is about 17683.7516381564. The cubic root of 312715072 is about 678.7600471749.

The spelling of 312715072 in words is "three hundred twelve million, seven hundred fifteen thousand, seventy-two".