192272 has 20 divisors (see below), whose sum is σ = 380556. Its totient is φ = 94080.

The previous prime is 192271. The next prime is 192307. The reversal of 192272 is 272291.

192272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 99856 + 92416 = 316^2 + 304^2 .

It is not an unprimeable number, because it can be changed into a prime (192271) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 878 + ... + 1074.

2¹⁹²²⁷² is an apocalyptic number.

It is an amenable number.

192272 is a deficient number, since it is larger than the sum of its proper divisors (188284).

192272 is a wasteful number, since it uses less digits than its factorization.

192272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 260 counting only the distinct ones).

The product of its digits is 504, while the sum is 23.

The square root of 192272 is about 438.4883122730. The cubic root of 192272 is about 57.7172124498.

It can be divided in two parts, 1922 and 72, that multiplied together give a square (138384 = 372²).

The spelling of 192272 in words is "one hundred ninety-two thousand, two hundred seventy-two".