859072 has 28 divisors (see below), whose sum is σ = 1763776. Its totient is φ = 414720.

The previous prime is 859057. The next prime is 859081. The reversal of 859072 is 270958.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

859072 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 3 ways as a sum of consecutive naturals, for example, 1768 + ... + 2200.

It is an arithmetic number, because the mean of its divisors is an integer number (62992).

2⁸⁵⁹⁰⁷² 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 859072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881888).

859072 is an abundant number, since it is smaller than the sum of its proper divisors (904704).

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

859072 is a wasteful number, since it uses less digits than its factorization.

859072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 859072 is about 926.8613704325. The cubic root of 859072 is about 95.0626364398.

The spelling of 859072 in words is "eight hundred fifty-nine thousand, seventy-two".