872004144 has 80 divisors (see below), whose sum is σ = 2461342464. Its totient is φ = 263827200.

The previous prime is 872004139. The next prime is 872004151. The reversal of 872004144 is 441400278.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 576349 + ... + 577859.

Almost surely, 2^872004144 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 872004144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1230671232).

872004144 is an abundant number, since it is smaller than the sum of its proper divisors (1589338320).

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

872004144 is a wasteful number, since it uses less digits than its factorization.

872004144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2626 (or 2620 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 872004144 is about 29529.7162871572. The cubic root of 872004144 is about 955.3727496061.

The spelling of 872004144 in words is "eight hundred seventy-two million, four thousand, one hundred forty-four".