872105920 has 84 divisors (see below), whose sum is σ = 2415799080. Its totient is φ = 299002368.

The previous prime is 872105917. The next prime is 872105921. The reversal of 872105920 is 29501278.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (872105921) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 12130 + ... + 43489.

Almost surely, 2^872105920 is an apocalyptic number.

872105920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

872105920 is an abundant number, since it is smaller than the sum of its proper divisors (1543693160).

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

872105920 is a wasteful number, since it uses less digits than its factorization.

872105920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55650 (or 55633 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The square root of 872105920 is about 29531.4395179104. The cubic root of 872105920 is about 955.4099169503.

The spelling of 872105920 in words is "eight hundred seventy-two million, one hundred five thousand, nine hundred twenty".