129372 has 12 divisors (see below), whose sum is σ = 301896. Its totient is φ = 43120.

The previous prime is 129361. The next prime is 129379. The reversal of 129372 is 273921.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×129372² = 33474228768, which contains 22 as substring.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129379) by changing a digit.

129372 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5379 + ... + 5402.

It is an arithmetic number, because the mean of its divisors is an integer number (25158).

2¹²⁹³⁷² is an apocalyptic number.

129372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

129372 is an abundant number, since it is smaller than the sum of its proper divisors (172524).

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

129372 is a wasteful number, since it uses less digits than its factorization.

129372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10788 (or 10786 counting only the distinct ones).

The product of its digits is 756, while the sum is 24.

The square root of 129372 is about 359.6831939360. The cubic root of 129372 is about 50.5762661638.

It can be divided in two parts, 1293 and 72, that multiplied together give a triangular number (93096 = T₄₃₁).

The spelling of 129372 in words is "one hundred twenty-nine thousand, three hundred seventy-two".