872351160 has 128 divisors (see below), whose sum is σ = 2721116160. Its totient is φ = 223488000.

The previous prime is 872351159. The next prime is 872351173. The reversal of 872351160 is 61153278.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 560944 + ... + 562496.

It is an arithmetic number, because the mean of its divisors is an integer number (21258720).

Almost surely, 2^872351160 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 872351160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360558080).

872351160 is an abundant number, since it is smaller than the sum of its proper divisors (1848765000).

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

872351160 is a wasteful number, since it uses less digits than its factorization.

872351160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1749 (or 1745 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 872351160 is about 29535.5914110417. The cubic root of 872351160 is about 955.4994637066.

The spelling of 872351160 in words is "eight hundred seventy-two million, three hundred fifty-one thousand, one hundred sixty".