189792 has 36 divisors (see below), whose sum is σ = 540540. Its totient is φ = 63168.

The previous prime is 189767. The next prime is 189797. The reversal of 189792 is 297981.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189797) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 42 + ... + 617.

It is an arithmetic number, because the mean of its divisors is an integer number (15015).

2¹⁸⁹⁷⁹² is an apocalyptic number.

189792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270270).

189792 is an abundant number, since it is smaller than the sum of its proper divisors (350748).

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

189792 is a wasteful number, since it uses less digits than its factorization.

189792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 664 counting only the distinct ones).

The product of its digits is 9072, while the sum is 36.

The square root of 189792 is about 435.6512366561. The cubic root of 189792 is about 57.4679846981.

It can be divided in two parts, 18979 and 2, that added together give a palindrome (18981).

The spelling of 189792 in words is "one hundred eighty-nine thousand, seven hundred ninety-two".