192972 has 24 divisors (see below), whose sum is σ = 485296. Its totient is φ = 59328.

The previous prime is 192971. The next prime is 192977. The reversal of 192972 is 279291.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 192972.

It is not an unprimeable number, because it can be changed into a prime (192971) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 463 + ... + 774.

2¹⁹²⁹⁷² is an apocalyptic number.

192972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

192972 is an abundant number, since it is smaller than the sum of its proper divisors (292324).

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

192972 is a wasteful number, since it uses less digits than its factorization.

192972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257 (or 1255 counting only the distinct ones).

The product of its digits is 2268, while the sum is 30.

The square root of 192972 is about 439.2857839721. The cubic root of 192972 is about 57.7871708375.

It can be divided in two parts, 192 and 972, that multiplied together give a square (186624 = 432²).

The spelling of 192972 in words is "one hundred ninety-two thousand, nine hundred seventy-two".