535752 has 48 divisors (see below), whose sum is σ = 1659840. Its totient is φ = 152928.

The previous prime is 535751. The next prime is 535757. The reversal of 535752 is 257535.

535752 = T₁₁₃ + T₁₁₄ + ... + T₁₆₆.

It is not an unprimeable number, because it can be changed into a prime (535751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28 + ... + 1035.

It is an arithmetic number, because the mean of its divisors is an integer number (34580).

2⁵³⁵⁷⁵² 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 535752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829920).

535752 is an abundant number, since it is smaller than the sum of its proper divisors (1124088).

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

535752 is a wasteful number, since it uses less digits than its factorization.

535752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1075 counting only the distinct ones).

The product of its digits is 5250, while the sum is 27.

The square root of 535752 is about 731.9508180199. The cubic root of 535752 is about 81.2184319179.

The spelling of 535752 in words is "five hundred thirty-five thousand, seven hundred fifty-two".