316872000 has 336 divisors, whose sum is σ = 1182697152. Its totient is φ = 83980800.

The previous prime is 316871999. The next prime is 316872013. The reversal of 316872000 is 278613.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1943919 + ... + 1944081.

It is an arithmetic number, because the mean of its divisors is an integer number (3519932).

Almost surely, 2^316872000 is an apocalyptic number.

316872000 is a gapful number since it is divisible by the number (30) 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 316872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591348576).

316872000 is an abundant number, since it is smaller than the sum of its proper divisors (865825152).

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

316872000 is an equidigital number, since it uses as much as digits as its factorization.

316872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 173 counting only the distinct ones).

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

The square root of 316872000 is about 17800.8988537096. The cubic root of 316872000 is about 681.7544085807.

The spelling of 316872000 in words is "three hundred sixteen million, eight hundred seventy-two thousand".