315072000 has 240 divisors, whose sum is σ = 1136904912. Its totient is φ = 83865600.

The previous prime is 315071993. The next prime is 315072007. The reversal of 315072000 is 270513.

It is an interprime number because it is at equal distance from previous prime (315071993) and next prime (315072007).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315072007) 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, 575727 + ... + 576273.

Almost surely, 2^315072000 is an apocalyptic number.

315072000 is a gapful number since it is divisible by the number (30) 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 315072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568452456).

315072000 is an abundant number, since it is smaller than the sum of its proper divisors (821832912).

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

315072000 is an equidigital number, since it uses as much as digits as its factorization.

315072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 315072000 is about 17750.2676036166. The cubic root of 315072000 is about 680.4610483479.

The spelling of 315072000 in words is "three hundred fifteen million, seventy-two thousand".