872550120 has 128 divisors (see below), whose sum is σ = 2826835200. Its totient is φ = 214185984.

The previous prime is 872550089. The next prime is 872550131. The reversal of 872550120 is 21055278.

It is a super-2 number, since 2×872550120² = 1522687423824028800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 887149 + ... + 888131.

It is an arithmetic number, because the mean of its divisors is an integer number (22084650).

Almost surely, 2^872550120 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 872550120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1413417600).

872550120 is an abundant number, since it is smaller than the sum of its proper divisors (1954285080).

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

872550120 is a wasteful number, since it uses less digits than its factorization.

872550120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1579 (or 1575 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 30.

The square root of 872550120 is about 29538.9593587858. The cubic root of 872550120 is about 955.5720994872.

The spelling of 872550120 in words is "eight hundred seventy-two million, five hundred fifty thousand, one hundred twenty".