8713872000 has 512 divisors, whose sum is σ = 33529766400. Its totient is φ = 2220134400.

The previous prime is 8713871963. The next prime is 8713872001. The reversal of 8713872000 is 2783178.

8713872000 is a `hidden beast` number, since 8 + 71 + 387 + 200 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (8713872001) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 9935562 + ... + 9936438.

It is an arithmetic number, because the mean of its divisors is an integer number (65487825).

Almost surely, 2^8713872000 is an apocalyptic number.

8713872000 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 8713872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16764883200).

8713872000 is an abundant number, since it is smaller than the sum of its proper divisors (24815894400).

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

8713872000 is a wasteful number, since it uses less digits than its factorization.

8713872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 8713872000 is about 93348.1226377906. The cubic root of 8713872000 is about 2057.8026653346.

The spelling of 8713872000 in words is "eight billion, seven hundred thirteen million, eight hundred seventy-two thousand".