129792192 has 112 divisors (see below), whose sum is σ = 369661440. Its totient is φ = 40061952.

The previous prime is 129792191. The next prime is 129792193. The reversal of 129792192 is 291297921.

It is an interprime number because it is at equal distance from previous prime (129792191) and next prime (129792193).

It is not an unprimeable number, because it can be changed into a prime (129792191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171078 + ... + 171834.

Almost surely, 2^129792192 is an apocalyptic number.

129792192 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 129792192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184830720).

129792192 is an abundant number, since it is smaller than the sum of its proper divisors (239869248).

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

129792192 is a wasteful number, since it uses less digits than its factorization.

129792192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 828 counting only the distinct ones).

The product of its digits is 40824, while the sum is 42.

The square root of 129792192 is about 11392.6376226052. The cubic root of 129792192 is about 506.3096315064.

It can be divided in two parts, 129792 and 192, that multiplied together give a square (24920064 = 4992²).

The spelling of 129792192 in words is "one hundred twenty-nine million, seven hundred ninety-two thousand, one hundred ninety-two".