192072 has 32 divisors (see below), whose sum is σ = 492480. Its totient is φ = 62400.

The previous prime is 192053. The next prime is 192091. The reversal of 192072 is 270291.

It is a happy number.

192072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (192053) and next prime (192091).

It is a congruent number.

It is an unprimeable number.

192072 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, 1197 + ... + 1347.

It is an arithmetic number, because the mean of its divisors is an integer number (15390).

2¹⁹²⁰⁷² is an apocalyptic number.

192072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 192072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246240).

192072 is an abundant number, since it is smaller than the sum of its proper divisors (300408).

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

192072 is a wasteful number, since it uses less digits than its factorization.

192072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 192072 is about 438.2601966869. The cubic root of 192072 is about 57.6971931589.

The spelling of 192072 in words is "one hundred ninety-two thousand, seventy-two".