31372 has 24 divisors (see below), whose sum is σ = 64512. Its totient is φ = 13200.

The previous prime is 31357. The next prime is 31379. The reversal of 31372 is 27313.

It is not an unprimeable number, because it can be changed into a prime (31379) by changing a digit.

31372 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 in 7 ways as a sum of consecutive naturals, for example, 997 + ... + 1027.

It is an arithmetic number, because the mean of its divisors is an integer number (2688).

2³¹³⁷² is an apocalyptic number.

It is an amenable number.

31372 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32256).

31372 is a wasteful number, since it uses less digits than its factorization.

31372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 67 counting only the distinct ones).

The product of its digits is 126, while the sum is 16.

The square root of 31372 is about 177.1214272752. The cubic root of 31372 is about 31.5389624533.

Adding to 31372 its reverse (27313), we get a palindrome (58685).

The spelling of 31372 in words is "thirty-one thousand, three hundred seventy-two".