188972 has 24 divisors (see below), whose sum is σ = 401184. Its totient is φ = 76032.

The previous prime is 188957. The next prime is 188983. The reversal of 188972 is 279881.

It is a happy number.

It is an Ulam number.

It is an unprimeable number.

188972 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 278 + ... + 674.

It is an arithmetic number, because the mean of its divisors is an integer number (16716).

2¹⁸⁸⁹⁷² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 188972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200592).

188972 is an abundant number, since it is smaller than the sum of its proper divisors (212212).

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

188972 is a wasteful number, since it uses less digits than its factorization.

188972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 423 counting only the distinct ones).

The product of its digits is 8064, while the sum is 35.

The square root of 188972 is about 434.7090981335. The cubic root of 188972 is about 57.3851013711.

Subtracting 188972 from its reverse (279881), we obtain a palindrome (90909).

The spelling of 188972 in words is "one hundred eighty-eight thousand, nine hundred seventy-two".