872925120 has 224 divisors, whose sum is σ = 3125053440. Its totient is φ = 229340160.

The previous prime is 872925107. The next prime is 872925149. The reversal of 872925120 is 21529278.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 612729 + ... + 614151.

Almost surely, 2^872925120 is an apocalyptic number.

872925120 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 872925120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562526720).

872925120 is an abundant number, since it is smaller than the sum of its proper divisors (2252128320).

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

872925120 is a wasteful number, since it uses less digits than its factorization.

872925120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 1504 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 872925120 is about 29545.3062262011. The cubic root of 872925120 is about 955.7089734639.

The spelling of 872925120 in words is "eight hundred seventy-two million, nine hundred twenty-five thousand, one hundred twenty".