238752 has 36 divisors (see below), whose sum is σ = 679770. Its totient is φ = 79488.

The previous prime is 238747. The next prime is 238759. The reversal of 238752 is 257832.

It can be written as a sum of positive squares in only one way, i.e., 197136 + 41616 = 444^2 + 204^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (238759) by changing a digit.

238752 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 5 ways as a sum of consecutive naturals, for example, 127 + ... + 702.

2²³⁸⁷⁵² is an apocalyptic number.

It is an amenable number.

238752 is an abundant number, since it is smaller than the sum of its proper divisors (441018).

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

238752 is a wasteful number, since it uses less digits than its factorization.

238752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845 (or 834 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 238752 is about 488.6225537161. The cubic root of 238752 is about 62.0367454741.

It can be divided in two parts, 238 and 752, that added together give a triangular number (990 = T₄₄).

The spelling of 238752 in words is "two hundred thirty-eight thousand, seven hundred fifty-two".