872576 has 32 divisors (see below), whose sum is σ = 1845180. Its totient is φ = 409600.

The previous prime is 872567. The next prime is 872587. The reversal of 872576 is 675278.

It can be written as a sum of positive squares in 2 ways, for example, as 678976 + 193600 = 824^2 + 440^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×872576² = 1522777751552, which contains 22 as substring.

Its product of digits (23520) is a multiple of the sum of its prime divisors (420).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 872576.

It is an unprimeable number.

872576 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, 1976 + ... + 2376.

2⁸⁷²⁵⁷⁶ 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 872576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922590).

872576 is an abundant number, since it is smaller than the sum of its proper divisors (972604).

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

872576 is a wasteful number, since it uses less digits than its factorization.

872576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 420 counting only the distinct ones).

The product of its digits is 23520, while the sum is 35.

The square root of 872576 is about 934.1177655949. The cubic root of 872576 is about 95.5581546876.

The spelling of 872576 in words is "eight hundred seventy-two thousand, five hundred seventy-six".