189972 has 24 divisors (see below), whose sum is σ = 492800. Its totient is φ = 63288.

The previous prime is 189967. The next prime is 189977. The reversal of 189972 is 279981.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (189967) and next prime (189977).

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 (189977) by changing a digit.

189972 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, 772 + ... + 987.

2¹⁸⁹⁹⁷² is an apocalyptic number.

189972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

189972 is an abundant number, since it is smaller than the sum of its proper divisors (302828).

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

189972 is a wasteful number, since it uses less digits than its factorization.

189972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1772 (or 1764 counting only the distinct ones).

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

The square root of 189972 is about 435.8577749679. The cubic root of 189972 is about 57.4861466311.

Subtracting 189972 from its reverse (279981), we obtain a palindrome (90009).

The spelling of 189972 in words is "one hundred eighty-nine thousand, nine hundred seventy-two".