71200129 has 16 divisors (see below), whose sum is σ = 95598720. Its totient is φ = 51212160.

The previous prime is 71200127. The next prime is 71200141. The reversal of 71200129 is 92100217.

It is a cyclic number.

It is not a de Polignac number, because 71200129 - 2¹ = 71200127 is a prime.

It is not an unprimeable number, because it can be changed into a prime (71200121) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 34564 + ... + 36565.

It is an arithmetic number, because the mean of its divisors is an integer number (5974920).

Almost surely, 2^71200129 is an apocalyptic number.

It is an amenable number.

71200129 is a deficient number, since it is larger than the sum of its proper divisors (24398591).

71200129 is a wasteful number, since it uses less digits than its factorization.

71200129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71160.

The product of its (nonzero) digits is 252, while the sum is 22.

The square root of 71200129 is about 8438.0168878712. The cubic root of 71200129 is about 414.4704699238.

The spelling of 71200129 in words is "seventy-one million, two hundred thousand, one hundred twenty-nine".