188772 has 12 divisors (see below), whose sum is σ = 440496. Its totient is φ = 62920.

The previous prime is 188767. The next prime is 188779. The reversal of 188772 is 277881.

188772 is nontrivially palindromic in base 11.

188772 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is a plaindrome in base 13.

It is a zygodrome in base 11.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 188772.

It is not an unprimeable number, because it can be changed into a prime (188779) by changing a digit.

188772 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 3 ways as a sum of consecutive naturals, for example, 7854 + ... + 7877.

It is an arithmetic number, because the mean of its divisors is an integer number (36708).

2¹⁸⁸⁷⁷² is an apocalyptic number.

188772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

188772 is an abundant number, since it is smaller than the sum of its proper divisors (251724).

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

188772 is a wasteful number, since it uses less digits than its factorization.

188772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15738 (or 15736 counting only the distinct ones).

The product of its digits is 6272, while the sum is 33.

The square root of 188772 is about 434.4789983417. The cubic root of 188772 is about 57.3648495673.

Adding to 188772 its sum of digits (33), we get a triangular number (188805 = T₆₁₄).

The spelling of 188772 in words is "one hundred eighty-eight thousand, seven hundred seventy-two".