315228672 has 200 divisors, whose sum is σ = 1027894032. Its totient is φ = 95385600.

The previous prime is 315228653. The next prime is 315228691. The reversal of 315228672 is 276822513.

It is an interprime number because it is at equal distance from previous prime (315228653) and next prime (315228691).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 455847 + ... + 456537.

Almost surely, 2^315228672 is an apocalyptic number.

315228672 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 315228672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513947016).

315228672 is an abundant number, since it is smaller than the sum of its proper divisors (712665360).

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

315228672 is an equidigital number, since it uses as much as digits as its factorization.

315228672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 707 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 315228672 is about 17754.6802843645. The cubic root of 315228672 is about 680.5738178392.

The spelling of 315228672 in words is "three hundred fifteen million, two hundred twenty-eight thousand, six hundred seventy-two".