71206700760217 has 32 divisors (see below), whose sum is σ = 81804908615040. Its totient is φ = 61299016704000.

The previous prime is 71206700760191. The next prime is 71206700760227.

71206700760217 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 71206700760217 - 2²³ = 71206692371609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (71206700760227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6899200417 + ... + 6899210737.

It is an arithmetic number, because the mean of its divisors is an integer number (2556403394220).

Almost surely, 2^{71206700760217} is an apocalyptic number.

It is an amenable number.

71206700760217 is a deficient number, since it is larger than the sum of its proper divisors (10598207854823).

71206700760217 is a wasteful number, since it uses less digits than its factorization.

71206700760217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21865.

The product of its (nonzero) digits is 345744, while the sum is 46.

It can be divided in two parts, 71206700 and 760217, that added together give a palindrome (71966917).

The spelling of 71206700760217 in words is "seventy-one trillion, two hundred six billion, seven hundred million, seven hundred sixty thousand, two hundred seventeen".