859872 has 72 divisors (see below), whose sum is σ = 2490264. Its totient is φ = 259584.

The previous prime is 859861. The next prime is 859891. The reversal of 859872 is 278958.

859872 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 (39).

It is a self number, because there is not a number n which added to its sum of digits gives 859872.

It is a congruent number.

It is an unprimeable number.

859872 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16198 + ... + 16250.

It is an arithmetic number, because the mean of its divisors is an integer number (34587).

2⁸⁵⁹⁸⁷² 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 859872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245132).

859872 is an abundant number, since it is smaller than the sum of its proper divisors (1630392).

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

859872 is a wasteful number, since it uses less digits than its factorization.

859872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 71 counting only the distinct ones).

The product of its digits is 40320, while the sum is 39.

The square root of 859872 is about 927.2928340066. The cubic root of 859872 is about 95.0921359130.

The spelling of 859872 in words is "eight hundred fifty-nine thousand, eight hundred seventy-two".