71296269217 has 8 divisors (see below), whose sum is σ = 72217866600. Its totient is φ = 70379535744.

The previous prime is 71296269203. The next prime is 71296269251.

71296269217 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 12534145936 + 58762123281 = 111956^2 + 242409^2 .

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 71296269217 - 2¹⁵ = 71296236449 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (71296269257) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1186468 + ... + 1245109.

It is an arithmetic number, because the mean of its divisors is an integer number (9027233325).

Almost surely, 2^71296269217 is an apocalyptic number.

It is an amenable number.

71296269217 is a deficient number, since it is larger than the sum of its proper divisors (921597383).

71296269217 is a wasteful number, since it uses less digits than its factorization.

71296269217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2431955.

The product of its digits is 1143072, while the sum is 52.

The spelling of 71296269217 in words is "seventy-one billion, two hundred ninety-six million, two hundred sixty-nine thousand, two hundred seventeen".