96192 has 42 divisors (see below), whose sum is σ = 277368. Its totient is φ = 31872.

The previous prime is 96181. The next prime is 96199. The reversal of 96192 is 29169.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 96192.

It is not an unprimeable number, because it can be changed into a prime (96199) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 493 + ... + 659.

It is an arithmetic number, because the mean of its divisors is an integer number (6604).

2⁹⁶¹⁹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138684).

96192 is an abundant number, since it is smaller than the sum of its proper divisors (181176).

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

96192 is a wasteful number, since it uses less digits than its factorization.

96192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 172 counting only the distinct ones).

The product of its digits is 972, while the sum is 27.

The square root of 96192 is about 310.1483515997. The cubic root of 96192 is about 45.8190750874.

The spelling of 96192 in words is "ninety-six thousand, one hundred ninety-two".