235752 has 64 divisors (see below), whose sum is σ = 691200. Its totient is φ = 66240.

The previous prime is 235751. The next prime is 235783. The reversal of 235752 is 257532.

235752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (235751) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4993 + ... + 5039.

It is an arithmetic number, because the mean of its divisors is an integer number (10800).

2²³⁵⁷⁵² is an apocalyptic number.

235752 is a gapful number since it is divisible by the number (22) 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 235752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345600).

235752 is an abundant number, since it is smaller than the sum of its proper divisors (455448).

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

235752 is a wasteful number, since it uses less digits than its factorization.

235752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 82 counting only the distinct ones).

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

The square root of 235752 is about 485.5429950066. The cubic root of 235752 is about 61.7758119018.

It can be divided in two parts, 23 and 5752, that added together give a palindrome (5775).

The spelling of 235752 in words is "two hundred thirty-five thousand, seven hundred fifty-two".