315672 has 32 divisors (see below), whose sum is σ = 902400. Its totient is φ = 90144.

The previous prime is 315671. The next prime is 315677. The reversal of 315672 is 276513.

It is a super-3 number, since 3×315672³ = 94369018951033344, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a d-powerful number, because it can be written as 3¹⁰ + 1 + 6⁵ + 5³ + 7⁶ + 2¹⁷ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315671) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 772 + ... + 1107.

It is an arithmetic number, because the mean of its divisors is an integer number (28200).

2³¹⁵⁶⁷² is an apocalyptic number.

It is an amenable number.

315672 is an abundant number, since it is smaller than the sum of its proper divisors (586728).

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

315672 is a wasteful number, since it uses less digits than its factorization.

315672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1895 (or 1891 counting only the distinct ones).

The product of its digits is 1260, while the sum is 24.

The square root of 315672 is about 561.8469542500. The cubic root of 315672 is about 68.0892714484.

The spelling of 315672 in words is "three hundred fifteen thousand, six hundred seventy-two".