192672 has 48 divisors (see below), whose sum is σ = 564480. Its totient is φ = 63936.

The previous prime is 192667. The next prime is 192677. The reversal of 192672 is 276291.

It is an interprime number because it is at equal distance from previous prime (192667) and next prime (192677).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (192677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 753 + ... + 975.

It is an arithmetic number, because the mean of its divisors is an integer number (11760).

2¹⁹²⁶⁷² is an apocalyptic number.

192672 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 192672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282240).

192672 is an abundant number, since it is smaller than the sum of its proper divisors (371808).

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

192672 is a wasteful number, since it uses less digits than its factorization.

192672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 228 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 192672 is about 438.9441877961. The cubic root of 192672 is about 57.7572094221.

The spelling of 192672 in words is "one hundred ninety-two thousand, six hundred seventy-two".