38372 has 12 divisors (see below), whose sum is σ = 68796. Its totient is φ = 18720.

The previous prime is 38371. The next prime is 38377. The reversal of 38372 is 27383.

38372 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 2 ways, for example, as 10816 + 27556 = 104^2 + 166^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 38372.

It is not an unprimeable number, because it can be changed into a prime (38371) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 122 + ... + 302.

It is an arithmetic number, because the mean of its divisors is an integer number (5733).

2³⁸³⁷² is an apocalyptic number.

It is an amenable number.

38372 is a deficient number, since it is larger than the sum of its proper divisors (30424).

38372 is a wasteful number, since it uses less digits than its factorization.

38372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 236 counting only the distinct ones).

The product of its digits is 1008, while the sum is 23.

The square root of 38372 is about 195.8877229435. The cubic root of 38372 is about 33.7291045784.

The spelling of 38372 in words is "thirty-eight thousand, three hundred seventy-two".