71866808201 has 8 divisors (see below), whose sum is σ = 72315872640. Its totient is φ = 71418595248.

The previous prime is 71866808149. The next prime is 71866808227. The reversal of 71866808201 is 10280866817.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 71866808201 - 2²⁶ = 71799699337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (71866808261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43121 + ... + 381566.

It is an arithmetic number, because the mean of its divisors is an integer number (9039484080).

Almost surely, 2^71866808201 is an apocalyptic number.

It is an amenable number.

71866808201 is a deficient number, since it is larger than the sum of its proper divisors (449064439).

71866808201 is a wasteful number, since it uses less digits than its factorization.

71866808201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425743.

The product of its (nonzero) digits is 258048, while the sum is 47.

The spelling of 71866808201 in words is "seventy-one billion, eight hundred sixty-six million, eight hundred eight thousand, two hundred one".