312867072 has 216 divisors, whose sum is σ = 1086263360. Its totient is φ = 84602880.

The previous prime is 312867067. The next prime is 312867073. The reversal of 312867072 is 270768213.

312867072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (312867073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 305922 + ... + 306942.

Almost surely, 2^312867072 is an apocalyptic number.

312867072 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 312867072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543131680).

312867072 is an abundant number, since it is smaller than the sum of its proper divisors (773396288).

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

312867072 is a wasteful number, since it uses less digits than its factorization.

312867072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 312867072 is about 17688.0488466083. The cubic root of 312867072 is about 678.8700033031.

The spelling of 312867072 in words is "three hundred twelve million, eight hundred sixty-seven thousand, seventy-two".