232752 has 40 divisors (see below), whose sum is σ = 649264. Its totient is φ = 71424.

The previous prime is 232751. The next prime is 232753. The reversal of 232752 is 257232.

It is an interprime number because it is at equal distance from previous prime (232751) and next prime (232753).

It is not an unprimeable number, because it can be changed into a prime (232751) 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, 438 + ... + 810.

2²³²⁷⁵² 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 232752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324632).

232752 is an abundant number, since it is smaller than the sum of its proper divisors (416512).

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

232752 is a wasteful number, since it uses less digits than its factorization.

232752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 391 counting only the distinct ones).

The product of its digits is 840, while the sum is 21.

The square root of 232752 is about 482.4437791080. The cubic root of 232752 is about 61.5126552052.

Adding to 232752 its reverse (257232), we get a palindrome (489984).

It can be divided in two parts, 23 and 2752, that added together give a triangular number (2775 = T₇₄).

The spelling of 232752 in words is "two hundred thirty-two thousand, seven hundred fifty-two".