238772 has 6 divisors (see below), whose sum is σ = 417858. Its totient is φ = 119384.

The previous prime is 238759. The next prime is 238781. The reversal of 238772 is 277832.

238772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 132496 + 106276 = 364^2 + 326^2 .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 238772.

It is an unprimeable number.

238772 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 29843 + ... + 29850.

It is an arithmetic number, because the mean of its divisors is an integer number (69643).

2²³⁸⁷⁷² is an apocalyptic number.

It is an amenable number.

238772 is a deficient number, since it is larger than the sum of its proper divisors (179086).

238772 is a wasteful number, since it uses less digits than its factorization.

238772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59697 (or 59695 counting only the distinct ones).

The product of its digits is 4704, while the sum is 29.

The square root of 238772 is about 488.6430189822. The cubic root of 238772 is about 62.0384776764.

Subtracting 238772 from its reverse (277832), we obtain a triangular number (39060 = T₂₇₉).

The spelling of 238772 in words is "two hundred thirty-eight thousand, seven hundred seventy-two".