129190672 has 40 divisors (see below), whose sum is σ = 276154200. Its totient is φ = 58168320.

The previous prime is 129190669. The next prime is 129190693. The reversal of 129190672 is 276091921.

It can be written as a sum of positive squares in 4 ways, for example, as 50176 + 129140496 = 224^2 + 11364^2 .

It is a super-3 number, since 3×129190672³ (a number of 25 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 954 + ... + 16102.

It is an arithmetic number, because the mean of its divisors is an integer number (6903855).

Almost surely, 2^129190672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129190672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138077100).

129190672 is an abundant number, since it is smaller than the sum of its proper divisors (146963528).

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

129190672 is a wasteful number, since it uses less digits than its factorization.

129190672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15211 (or 15205 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 37.

The square root of 129190672 is about 11366.2074589548. The cubic root of 129190672 is about 505.5262585732.

The spelling of 129190672 in words is "one hundred twenty-nine million, one hundred ninety thousand, six hundred seventy-two".