575200 has 36 divisors (see below), whose sum is σ = 1406160. Its totient is φ = 229760.

The previous prime is 575177. The next prime is 575203. The reversal of 575200 is 2575.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (575203) by changing a digit.

575200 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 5 ways as a sum of consecutive naturals, for example, 441 + ... + 1159.

It is an arithmetic number, because the mean of its divisors is an integer number (39060).

2⁵⁷⁵²⁰⁰ is an apocalyptic number.

575200 is a gapful number since it is divisible by the number (50) 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 575200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703080).

575200 is an abundant number, since it is smaller than the sum of its proper divisors (830960).

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

575200 is a wasteful number, since it uses less digits than its factorization.

575200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 19.

The square root of 575200 is about 758.4194090343. The cubic root of 575200 is about 83.1648150041.

Adding to 575200 its reverse (2575), we get a palindrome (577775).

The spelling of 575200 in words is "five hundred seventy-five thousand, two hundred".