315072 has 42 divisors (see below), whose sum is σ = 904748. Its totient is φ = 104832.

The previous prime is 315067. The next prime is 315083. The reversal of 315072 is 270513.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 315072.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 303 + ... + 849.

2³¹⁵⁰⁷² is an apocalyptic number.

315072 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 315072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452374).

315072 is an abundant number, since it is smaller than the sum of its proper divisors (589676).

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

315072 is a wasteful number, since it uses less digits than its factorization.

315072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 552 counting only the distinct ones).

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

The square root of 315072 is about 561.3127470493. The cubic root of 315072 is about 68.0461048348.

Adding to 315072 its reverse (270513), we get a palindrome (585585).

The spelling of 315072 in words is "three hundred fifteen thousand, seventy-two".