315120672 has 96 divisors (see below), whose sum is σ = 928287360. Its totient is φ = 103991040.

The previous prime is 315120667. The next prime is 315120733. The reversal of 315120672 is 276021513.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87222 + ... + 90762.

It is an arithmetic number, because the mean of its divisors is an integer number (9669660).

Almost surely, 2^315120672 is an apocalyptic number.

315120672 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 315120672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464143680).

315120672 is an abundant number, since it is smaller than the sum of its proper divisors (613166688).

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

315120672 is a wasteful number, since it uses less digits than its factorization.

315120672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3663 (or 3649 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 315120672 is about 17751.6385722558. The cubic root of 315120672 is about 680.4960855192.

The spelling of 315120672 in words is "three hundred fifteen million, one hundred twenty thousand, six hundred seventy-two".