532756 has 24 divisors (see below), whose sum is σ = 1088640. Its totient is φ = 223392.

The previous prime is 532751. The next prime is 532757. The reversal of 532756 is 657235.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a d-powerful number, because it can be written as 5 + 3¹² + 7 + 2 + 5 + 6⁴ .

532756 is a modest number, since divided by 756 gives 532 as remainder.

It is a nialpdrome in base 14.

It is a congruent number.

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

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1305 + ... + 1663.

It is an arithmetic number, because the mean of its divisors is an integer number (45360).

2⁵³²⁷⁵⁶ 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 532756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544320).

532756 is an abundant number, since it is smaller than the sum of its proper divisors (555884).

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

532756 is a wasteful number, since it uses less digits than its factorization.

532756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 421 counting only the distinct ones).

The product of its digits is 6300, while the sum is 28.

The square root of 532756 is about 729.9013631992. The cubic root of 532756 is about 81.0667538929.

It can be divided in two parts, 53 and 2756, that added together give a square (2809 = 53²).

The spelling of 532756 in words is "five hundred thirty-two thousand, seven hundred fifty-six".