575120 has 80 divisors (see below), whose sum is σ = 1666560. Its totient is φ = 179712.

The previous prime is 575119. The next prime is 575123. The reversal of 575120 is 21575.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 575092 and 575101.

It is not an unprimeable number, because it can be changed into a prime (575123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7241 + ... + 7319.

It is an arithmetic number, because the mean of its divisors is an integer number (20832).

2⁵⁷⁵¹²⁰ 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 575120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833280).

575120 is an abundant number, since it is smaller than the sum of its proper divisors (1091440).

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

575120 is a wasteful number, since it uses less digits than its factorization.

575120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 20.

The square root of 575120 is about 758.3666659341. The cubic root of 575120 is about 83.1609592475.

Adding to 575120 its reverse (21575), we get a palindrome (596695).

The spelling of 575120 in words is "five hundred seventy-five thousand, one hundred twenty".