189772 has 24 divisors (see below), whose sum is σ = 383040. Its totient is φ = 81360.

The previous prime is 189767. The next prime is 189797. The reversal of 189772 is 277981.

189772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 723 + ... + 949.

It is an arithmetic number, because the mean of its divisors is an integer number (15960).

2¹⁸⁹⁷⁷² is an apocalyptic number.

It is an amenable number.

189772 is an abundant number, since it is smaller than the sum of its proper divisors (193268).

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

189772 is a wasteful number, since it uses less digits than its factorization.

189772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 259 counting only the distinct ones).

The product of its digits is 7056, while the sum is 34.

The square root of 189772 is about 435.6282819102. The cubic root of 189772 is about 57.4659659968.

Subtracting 189772 from its reverse (277981), we obtain a square (88209 = 297²).

It can be divided in two parts, 189 and 772, that added together give a square (961 = 31²).

The spelling of 189772 in words is "one hundred eighty-nine thousand, seven hundred seventy-two".