315504072 has 240 divisors, whose sum is σ = 993777840. Its totient is φ = 93405312.

The previous prime is 315504053. The next prime is 315504089. The reversal of 315504072 is 270405513.

It is a happy number.

315504072 is a `hidden beast` number, since 3 + 1 + 550 + 40 + 72 = 666.

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 59 ways as a sum of consecutive naturals, for example, 4708983 + ... + 4709049.

It is an arithmetic number, because the mean of its divisors is an integer number (4140741).

Almost surely, 2^315504072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315504072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496888920).

315504072 is an abundant number, since it is smaller than the sum of its proper divisors (678273768).

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

315504072 is a wasteful number, since it uses less digits than its factorization.

315504072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 315504072 is about 17762.4342926301. The cubic root of 315504072 is about 680.7719549269.

Adding to 315504072 its reverse (270405513), we get a palindrome (585909585).

The spelling of 315504072 in words is "three hundred fifteen million, five hundred four thousand, seventy-two".