129180672 has 132 divisors (see below), whose sum is σ = 379366416. Its totient is φ = 42332160.

The previous prime is 129180661. The next prime is 129180691. The reversal of 129180672 is 276081921.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 986047 + ... + 986177.

It is an arithmetic number, because the mean of its divisors is an integer number (2873988).

Almost surely, 2^129180672 is an apocalyptic number.

129180672 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 129180672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189683208).

129180672 is an abundant number, since it is smaller than the sum of its proper divisors (250185744).

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

129180672 is a wasteful number, since it uses less digits than its factorization.

129180672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 129180672 is about 11365.7675499722. The cubic root of 129180672 is about 505.5132148218.

The spelling of 129180672 in words is "one hundred twenty-nine million, one hundred eighty thousand, six hundred seventy-two".