71720511502717 has 16 divisors (see below), whose sum is σ = 90253460777472. Its totient is φ = 55363812732720.

The previous prime is 71720511502711. The next prime is 71720511502781.

71720511502717 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 71720511502717 - 2⁴³ = 62924418480509 is a prime.

It is a super-2 number, since 2×71720511502717² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71720511502711) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4352492763 + ... + 4352509240.

It is an arithmetic number, because the mean of its divisors is an integer number (5640841298592).

Almost surely, 2^{71720511502717} is an apocalyptic number.

71720511502717 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

It is an amenable number.

71720511502717 is a deficient number, since it is larger than the sum of its proper divisors (18532949274755).

71720511502717 is a wasteful number, since it uses less digits than its factorization.

71720511502717 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8705002128.

The product of its (nonzero) digits is 240100, while the sum is 46.

It can be divided in two parts, 7172051 and 1502717, that added together give a palindrome (8674768).

The spelling of 71720511502717 in words is "seventy-one trillion, seven hundred twenty billion, five hundred eleven million, five hundred two thousand, seven hundred seventeen".