575952 has 60 divisors (see below), whose sum is σ = 1633824. Its totient is φ = 174720.

The previous prime is 575941. The next prime is 575957. The reversal of 575952 is 259575.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (575957) by changing a digit.

575952 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 11 ways as a sum of consecutive naturals, for example, 8077 + ... + 8147.

2⁵⁷⁵⁹⁵² is an apocalyptic number.

575952 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 575952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816912).

575952 is an abundant number, since it is smaller than the sum of its proper divisors (1057872).

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

575952 is a wasteful number, since it uses less digits than its factorization.

575952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 89 counting only the distinct ones).

The product of its digits is 15750, while the sum is 33.

The square root of 575952 is about 758.9150150050. The cubic root of 575952 is about 83.2010416536.

It can be divided in two parts, 5 and 75952, that added together give a palindrome (75957).

The spelling of 575952 in words is "five hundred seventy-five thousand, nine hundred fifty-two".