315171072 has 216 divisors, whose sum is σ = 968549400. Its totient is φ = 98402304.

The previous prime is 315171071. The next prime is 315171091. The reversal of 315171072 is 270171513.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 37748736 + 277422336 = 6144^2 + 16656^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315171071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3541204 + ... + 3541292.

It is an arithmetic number, because the mean of its divisors is an integer number (4484025).

Almost surely, 2^315171072 is an apocalyptic number.

315171072 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 315171072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484274700).

315171072 is an abundant number, since it is smaller than the sum of its proper divisors (653378328).

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

315171072 is a wasteful number, since it uses less digits than its factorization.

315171072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The square root of 315171072 is about 17753.0581027608. The cubic root of 315171072 is about 680.5323628117.

The spelling of 315171072 in words is "three hundred fifteen million, one hundred seventy-one thousand, seventy-two".