129072993 has 16 divisors (see below), whose sum is σ = 208252800. Its totient is φ = 69417216.

The previous prime is 129072989. The next prime is 129073003. The reversal of 129072993 is 399270921.

It is a happy number.

It is not a de Polignac number, because 129072993 - 2² = 129072989 is a prime.

It is not an unprimeable number, because it can be changed into a prime (129072193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180418 + ... + 181131.

It is an arithmetic number, because the mean of its divisors is an integer number (13015800).

Almost surely, 2^129072993 is an apocalyptic number.

It is an amenable number.

129072993 is a deficient number, since it is larger than the sum of its proper divisors (79179807).

129072993 is a wasteful number, since it uses less digits than its factorization.

129072993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361576.

The product of its (nonzero) digits is 61236, while the sum is 42.

The square root of 129072993 is about 11361.0295748229. The cubic root of 129072993 is about 505.3727183426.

The spelling of 129072993 in words is "one hundred twenty-nine million, seventy-two thousand, nine hundred ninety-three".