575520 has 96 divisors (see below), whose sum is σ = 1995840. Its totient is φ = 138240.

The previous prime is 575513. The next prime is 575551. The reversal of 575520 is 25575.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5226 + ... + 5334.

It is an arithmetic number, because the mean of its divisors is an integer number (20790).

2⁵⁷⁵⁵²⁰ 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 575520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (997920).

575520 is an abundant number, since it is smaller than the sum of its proper divisors (1420320).

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

575520 is a wasteful number, since it uses less digits than its factorization.

575520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1750, while the sum is 24.

The square root of 575520 is about 758.6303447661. The cubic root of 575520 is about 83.1802344566.

Subtracting from 575520 its reverse (25575), we obtain a palindrome (549945).

It can be divided in two parts, 5755 and 20, that added together give a palindrome (5775).

The spelling of 575520 in words is "five hundred seventy-five thousand, five hundred twenty".