71971666125 has 32 divisors (see below), whose sum is σ = 124967860992. Its totient is φ = 36715976000.

The previous prime is 71971666099. The next prime is 71971666133. The reversal of 71971666125 is 52166617917.

It is a happy number.

It is not a de Polignac number, because 71971666125 - 2⁸ = 71971665869 is a prime.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4163646 + ... + 4180895.

It is an arithmetic number, because the mean of its divisors is an integer number (3905245656).

Almost surely, 2^71971666125 is an apocalyptic number.

71971666125 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

71971666125 is a deficient number, since it is larger than the sum of its proper divisors (52996194867).

71971666125 is a wasteful number, since it uses less digits than its factorization.

71971666125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8344582 (or 8344572 counting only the distinct ones).

The product of its digits is 952560, while the sum is 51.

The spelling of 71971666125 in words is "seventy-one billion, nine hundred seventy-one million, six hundred sixty-six thousand, one hundred twenty-five".