187992 has 48 divisors (see below), whose sum is σ = 583440. Its totient is φ = 53568.

The previous prime is 187987. The next prime is 188011. The reversal of 187992 is 299781.

It is a happy number.

187992 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 318 + ... + 690.

It is an arithmetic number, because the mean of its divisors is an integer number (12155).

2¹⁸⁷⁹⁹² is an apocalyptic number.

187992 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 187992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291720).

187992 is an abundant number, since it is smaller than the sum of its proper divisors (395448).

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

187992 is a wasteful number, since it uses less digits than its factorization.

187992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 385 counting only the distinct ones).

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

The square root of 187992 is about 433.5804423634. The cubic root of 187992 is about 57.2857305732.

The spelling of 187992 in words is "one hundred eighty-seven thousand, nine hundred ninety-two".