71742677624717 has 4 divisors (see below), whose sum is σ = 78264739226976. Its totient is φ = 65220616022460.

The previous prime is 71742677624699. The next prime is 71742677624731.

71742677624717 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 71742677624717 - 2¹⁶ = 71742677559181 is a prime.

It is a super-3 number, since 3×71742677624717³ (a number of 43 digits) contains 333 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 (71742677624017) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3261030801113 + ... + 3261030801134.

It is an arithmetic number, because the mean of its divisors is an integer number (19566184806744).

Almost surely, 2^{71742677624717} is an apocalyptic number.

It is an amenable number.

71742677624717 is a deficient number, since it is larger than the sum of its proper divisors (6522061602259).

71742677624717 is a wasteful number, since it uses less digits than its factorization.

71742677624717 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6522061602258.

The product of its digits is 271063296, while the sum is 68.

The spelling of 71742677624717 in words is "seventy-one trillion, seven hundred forty-two billion, six hundred seventy-seven million, six hundred twenty-four thousand, seven hundred seventeen".