315387072 has 336 divisors, whose sum is σ = 1215981312. Its totient is φ = 75479040.

The previous prime is 315387071. The next prime is 315387073. The reversal of 315387072 is 270783513.

It is an interprime number because it is at equal distance from previous prime (315387071) and next prime (315387073).

It is a tau number, because it is divible by the number of its divisors (336).

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 (315387071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 576303 + ... + 576849.

It is an arithmetic number, because the mean of its divisors is an integer number (3618992).

Almost surely, 2^315387072 is an apocalyptic number.

315387072 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 315387072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607990656).

315387072 is an abundant number, since it is smaller than the sum of its proper divisors (900594240).

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

315387072 is a wasteful number, since it uses less digits than its factorization.

315387072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 315387072 is about 17759.1405197436. The cubic root of 315387072 is about 680.6877931325.

The spelling of 315387072 in words is "three hundred fifteen million, three hundred eighty-seven thousand, seventy-two".