129360672 has 192 divisors, whose sum is σ = 438600960. Its totient is φ = 36329472.

The previous prime is 129360611. The next prime is 129360691. The reversal of 129360672 is 276063921.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 441358 + ... + 441650.

It is an arithmetic number, because the mean of its divisors is an integer number (2284380).

Almost surely, 2^129360672 is an apocalyptic number.

129360672 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 129360672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219300480).

129360672 is an abundant number, since it is smaller than the sum of its proper divisors (309240288).

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

129360672 is a wasteful number, since it uses less digits than its factorization.

129360672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 129360672 is about 11373.6833084098. The cubic root of 129360672 is about 505.7478994360.

The spelling of 129360672 in words is "one hundred twenty-nine million, three hundred sixty thousand, six hundred seventy-two".