315523072 has 32 divisors (see below), whose sum is σ = 631102050. Its totient is φ = 157745152.

The previous prime is 315523051. The next prime is 315523073. The reversal of 315523072 is 270325513.

It can be written as a sum of positive squares in only one way, i.e., 173817856 + 141705216 = 13184^2 + 11904^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 315523072.

It is not an unprimeable number, because it can be changed into a prime (315523073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 27954 + ... + 37582.

Almost surely, 2^315523072 is an apocalyptic number.

315523072 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 315523072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315551025).

315523072 is an abundant number, since it is smaller than the sum of its proper divisors (315578978).

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

315523072 is an frugal number, since it uses more digits than its factorization.

315523072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9659 (or 9631 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 28.

The square root of 315523072 is about 17762.9691211802. The cubic root of 315523072 is about 680.7856202629.

Adding to 315523072 its reverse (270325513), we get a palindrome (585848585).

The spelling of 315523072 in words is "three hundred fifteen million, five hundred twenty-three thousand, seventy-two".