872101920 has 384 divisors, whose sum is σ = 3065610240. Its totient is φ = 207728640.

The previous prime is 872101897. The next prime is 872101931. The reversal of 872101920 is 29101278.

872101920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18555337 + ... + 18555383.

It is an arithmetic number, because the mean of its divisors is an integer number (7983360).

Almost surely, 2^872101920 is an apocalyptic number.

872101920 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 872101920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532805120).

872101920 is an abundant number, since it is smaller than the sum of its proper divisors (2193508320).

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

872101920 is a wasteful number, since it uses less digits than its factorization.

872101920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 872101920 is about 29531.3717933996. The cubic root of 872101920 is about 955.4084562540.

The spelling of 872101920 in words is "eight hundred seventy-two million, one hundred one thousand, nine hundred twenty".