872175752 has 64 divisors (see below), whose sum is σ = 1985886720. Its totient is φ = 350558208.

The previous prime is 872175713. The next prime is 872175763. The reversal of 872175752 is 257571278.

872175752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 296513 + ... + 299439.

It is an arithmetic number, because the mean of its divisors is an integer number (31029480).

Almost surely, 2^872175752 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 872175752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (992943360).

872175752 is an abundant number, since it is smaller than the sum of its proper divisors (1113710968).

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

872175752 is a wasteful number, since it uses less digits than its factorization.

872175752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3270 (or 3266 counting only the distinct ones).

The product of its digits is 274400, while the sum is 44.

The square root of 872175752 is about 29532.6218273962. The cubic root of 872175752 is about 955.4354170656.

The spelling of 872175752 in words is "eight hundred seventy-two million, one hundred seventy-five thousand, seven hundred fifty-two".