562752 has 42 divisors (see below), whose sum is σ = 1614678. Its totient is φ = 187392.

The previous prime is 562739. The next prime is 562753. The reversal of 562752 is 257265.

It can be written as a sum of positive squares in only one way, i.e., 553536 + 9216 = 744^2 + 96^2 .

It is not an unprimeable number, because it can be changed into a prime (562753) by changing a digit.

562752 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, 88 + ... + 1064.

2⁵⁶²⁷⁵² 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 562752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807339).

562752 is an abundant number, since it is smaller than the sum of its proper divisors (1051926).

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

562752 is a wasteful number, since it uses less digits than its factorization.

562752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995 (or 982 counting only the distinct ones).

The product of its digits is 4200, while the sum is 27.

The square root of 562752 is about 750.1679811882. The cubic root of 562752 is about 82.5605065770.

The spelling of 562752 in words is "five hundred sixty-two thousand, seven hundred fifty-two".