872750592 has 320 divisors, whose sum is σ = 3064089600. Its totient is φ = 239984640.

The previous prime is 872750591. The next prime is 872750609. The reversal of 872750592 is 295057278.

It is a happy number.

872750592 is a `hidden beast` number, since 8 + 7 + 2 + 7 + 50 + 592 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (872750591) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2806117 + ... + 2806427.

It is an arithmetic number, because the mean of its divisors is an integer number (9575280).

Almost surely, 2^872750592 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 872750592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532044800).

872750592 is an abundant number, since it is smaller than the sum of its proper divisors (2191339008).

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

872750592 is a wasteful number, since it uses less digits than its factorization.

872750592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The square root of 872750592 is about 29542.3525129601. The cubic root of 872750592 is about 955.6452760977.

It can be divided in two parts, 8727 and 50592, that added together give a cube (59319 = 39³).

The spelling of 872750592 in words is "eight hundred seventy-two million, seven hundred fifty thousand, five hundred ninety-two".