129285072 has 100 divisors (see below), whose sum is σ = 427674016. Its totient is φ = 36936000.

The previous prime is 129285059. The next prime is 129285083. The reversal of 129285072 is 270582921.

129285072 is a `hidden beast` number, since 129 + 28 + 507 + 2 = 666.

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 19 ways as a sum of consecutive naturals, for example, 1947 + ... + 16197.

Almost surely, 2^129285072 is an apocalyptic number.

129285072 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 129285072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213837008).

129285072 is an abundant number, since it is smaller than the sum of its proper divisors (298388944).

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

129285072 is a wasteful number, since it uses less digits than its factorization.

129285072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14278 (or 14263 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 129285072 is about 11370.3593610756. The cubic root of 129285072 is about 505.6493584310.

The spelling of 129285072 in words is "one hundred twenty-nine million, two hundred eighty-five thousand, seventy-two".