872176320 has 168 divisors, whose sum is σ = 3097011840. Its totient is φ = 225054720.

The previous prime is 872176303. The next prime is 872176339. The reversal of 872176320 is 23671278.

872176320 is a `hidden beast` number, since 8 + 7 + 2 + 17 + 632 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84396 + ... + 94164.

Almost surely, 2^872176320 is an apocalyptic number.

872176320 is a gapful number since it is divisible by the number (80) 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 872176320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548505920).

872176320 is an abundant number, since it is smaller than the sum of its proper divisors (2224835520).

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

872176320 is a wasteful number, since it uses less digits than its factorization.

872176320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9823 (or 9810 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 872176320 is about 29532.6314438792. The cubic root of 872176320 is about 955.4356244730.

The spelling of 872176320 in words is "eight hundred seventy-two million, one hundred seventy-six thousand, three hundred twenty".