316872 has 48 divisors (see below), whose sum is σ = 895440. Its totient is φ = 104976.

The previous prime is 316861. The next prime is 316879. The reversal of 316872 is 278613.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

Its product of digits (2016) is a multiple of the sum of its prime divisors (168).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 316872.

It is not an unprimeable number, because it can be changed into a prime (316879) by changing a digit.

316872 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1863 + ... + 2025.

It is an arithmetic number, because the mean of its divisors is an integer number (18655).

2³¹⁶⁸⁷² 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 316872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447720).

316872 is an abundant number, since it is smaller than the sum of its proper divisors (578568).

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

316872 is a wasteful number, since it uses less digits than its factorization.

316872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 168 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 316872 is about 562.9138477600. The cubic root of 316872 is about 68.1754408581.

It can be divided in two parts, 3168 and 72, that added together give a triangular number (3240 = T₈₀).

The spelling of 316872 in words is "three hundred sixteen thousand, eight hundred seventy-two".