532752 has 40 divisors (see below), whose sum is σ = 1502880. Its totient is φ = 161280.

The previous prime is 532751. The next prime is 532757. The reversal of 532752 is 257235.

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

It is a d-powerful number, because it can be written as 5³ + 3¹² + 7² + 2⁸ + 5⁴ + 2⁸ .

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (532751) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24 + ... + 1032.

It is an arithmetic number, because the mean of its divisors is an integer number (37572).

2⁵³²⁷⁵² 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 532752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751440).

532752 is an abundant number, since it is smaller than the sum of its proper divisors (970128).

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

532752 is a wasteful number, since it uses less digits than its factorization.

532752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031 (or 1025 counting only the distinct ones).

The product of its digits is 2100, while the sum is 24.

The square root of 532752 is about 729.8986230978. The cubic root of 532752 is about 81.0665510059.

Adding to 532752 its reverse (257235), we get a palindrome (789987).

The spelling of 532752 in words is "five hundred thirty-two thousand, seven hundred fifty-two".