84372 has 24 divisors (see below), whose sum is σ = 201600. Its totient is φ = 27456.

The previous prime is 84349. The next prime is 84377. The reversal of 84372 is 27348.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84377) by changing a digit.

84372 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 7 ways as a sum of consecutive naturals, for example, 904 + ... + 992.

It is an arithmetic number, because the mean of its divisors is an integer number (8400).

2⁸⁴³⁷² is an apocalyptic number.

It is an amenable number.

84372 is an abundant number, since it is smaller than the sum of its proper divisors (117228).

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 (100800).

84372 is a wasteful number, since it uses less digits than its factorization.

84372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 173 counting only the distinct ones).

The product of its digits is 1344, while the sum is 24.

The square root of 84372 is about 290.4685869419. The cubic root of 84372 is about 43.8597462417.

Subtracting from 84372 its sum of digits (24), we obtain a palindrome (84348).

Subtracting from 84372 its product of digits (1344), we obtain a triangular number (83028 = T₄₀₇).

The spelling of 84372 in words is "eighty-four thousand, three hundred seventy-two".