559872 has 72 divisors (see below), whose sum is σ = 1676080. Its totient is φ = 186624.

The previous prime is 559859. The next prime is 559877. The reversal of 559872 is 278955.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (3!)⁷ ⋅ 2!.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (25200) is a multiple of the sum of its prime divisors (5).

It is a nialpdrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (559877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 186623 + 186624 + 186625.

559872 is a Friedman number, since it can be written as 72*(9-8+5)^5, using all its digits and the basic arithmetic operations.

2⁵⁵⁹⁸⁷² 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 559872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838040).

559872 is an abundant number, since it is smaller than the sum of its proper divisors (1116208).

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

559872 is an frugal number, since it uses more digits than its factorization.

559872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37 (or 5 counting only the distinct ones).

The product of its digits is 25200, while the sum is 36.

The square root of 559872 is about 748.2459488698. The cubic root of 559872 is about 82.4194254638.

It can be divided in two parts, 559 and 872, that added together give a triangular number (1431 = T₅₃).

The spelling of 559872 in words is "five hundred fifty-nine thousand, eight hundred seventy-two".