129435372 has 72 divisors (see below), whose sum is σ = 375735360. Its totient is φ = 37156320.

The previous prime is 129435359. The next prime is 129435377. The reversal of 129435372 is 273534921.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (129435377) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1078 + ... + 16125.

Almost surely, 2^129435372 is an apocalyptic number.

129435372 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 129435372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187867680).

129435372 is an abundant number, since it is smaller than the sum of its proper divisors (246299988).

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

129435372 is a wasteful number, since it uses less digits than its factorization.

129435372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17243 (or 17238 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 129435372 is about 11376.9667310756. The cubic root of 129435372 is about 505.8452296314.

The spelling of 129435372 in words is "one hundred twenty-nine million, four hundred thirty-five thousand, three hundred seventy-two".