8372 has 24 divisors (see below), whose sum is σ = 18816. Its totient is φ = 3168.

The previous prime is 8369. The next prime is 8377. The reversal of 8372 is 2738.

It is a Smith number, since the sum of its digits (20) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 11.

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 8372.

It is not an unprimeable number, because it can be changed into a prime (8377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is an upside-down number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 353 + ... + 375.

It is an arithmetic number, because the mean of its divisors is an integer number (784).

2⁸³⁷² is an apocalyptic number.

It is a pronic number, being equal to 91×92.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9408).

8372 is an abundant number, since it is smaller than the sum of its proper divisors (10444).

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

8372 is a wasteful number, since it uses less digits than its factorization.

8372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 45 counting only the distinct ones).

The product of its digits is 336, while the sum is 20.

The square root of 8372 is about 91.4986338696. The cubic root of 8372 is about 20.3053154078.

The spelling of 8372 in words is "eight thousand, three hundred seventy-two".