168192 has 54 divisors (see below), whose sum is σ = 491582. Its totient is φ = 55296.

The previous prime is 168151. The next prime is 168193. The reversal of 168192 is 291861.

It can be written as a sum of positive squares in only one way, i.e., 147456 + 20736 = 384^2 + 144^2 .

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

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (168193) 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, 2268 + ... + 2340.

2¹⁶⁸¹⁹² is an apocalyptic number.

168192 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 168192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245791).

168192 is an abundant number, since it is smaller than the sum of its proper divisors (323390).

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

168192 is an equidigital number, since it uses as much as digits as its factorization.

168192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 78 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 168192 is about 410.1121797752. The cubic root of 168192 is about 55.1994958996.

It can be divided in two parts, 16 and 8192, that multiplied together give a 17-th power (131072 = 2¹⁷).

The spelling of 168192 in words is "one hundred sixty-eight thousand, one hundred ninety-two".