129792 has 54 divisors (see below), whose sum is σ = 374052. Its totient is φ = 39936.

The previous prime is 129769. The next prime is 129793. The reversal of 129792 is 297921.

Its product of digits (2268) is a multiple of the sum of its prime divisors (18).

It is not an unprimeable number, because it can be changed into a prime (129793) by changing a digit.

129792 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 5 ways as a sum of consecutive naturals, for example, 9978 + ... + 9990.

2¹²⁹⁷⁹² is an apocalyptic number.

129792 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 129792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187026).

129792 is an abundant number, since it is smaller than the sum of its proper divisors (244260).

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

129792 is an equidigital number, since it uses as much as digits as its factorization.

129792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 18 counting only the distinct ones).

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

The square root of 129792 is about 360.2665679743. The cubic root of 129792 is about 50.6309381847.

The spelling of 129792 in words is "one hundred twenty-nine thousand, seven hundred ninety-two".