189372 has 24 divisors (see below), whose sum is σ = 453376. Its totient is φ = 61488.

The previous prime is 189361. The next prime is 189377. The reversal of 189372 is 273981.

It is a happy number.

189372 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189377) by changing a digit.

189372 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 (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 333 + ... + 699.

2¹⁸⁹³⁷² is an apocalyptic number.

189372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

189372 is an abundant number, since it is smaller than the sum of its proper divisors (264004).

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

189372 is a wasteful number, since it uses less digits than its factorization.

189372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 415 counting only the distinct ones).

The product of its digits is 3024, while the sum is 30.

The square root of 189372 is about 435.1689327146. The cubic root of 189372 is about 57.4255621516.

It can be divided in two parts, 189 and 372, that added together give a triangular number (561 = T₃₃).

The spelling of 189372 in words is "one hundred eighty-nine thousand, three hundred seventy-two".