72011717017 has 4 divisors (see below), whose sum is σ = 72012417316. Its totient is φ = 72011016720.

The previous prime is 72011717009. The next prime is 72011717033. The reversal of 72011717017 is 71071711027.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 71071711027 = 43 ⋅1652830489.

It can be written as a sum of positive squares in 2 ways, for example, as 59222142736 + 12789574281 = 243356^2 + 113091^2 .

It is a cyclic number.

It is not a de Polignac number, because 72011717017 - 2³ = 72011717009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72011717047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 162318 + ... + 412759.

It is an arithmetic number, because the mean of its divisors is an integer number (18003104329).

Almost surely, 2^72011717017 is an apocalyptic number.

It is an amenable number.

72011717017 is a deficient number, since it is larger than the sum of its proper divisors (700299).

72011717017 is a wasteful number, since it uses less digits than its factorization.

72011717017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700298.

The product of its (nonzero) digits is 4802, while the sum is 34.

The spelling of 72011717017 in words is "seventy-two billion, eleven million, seven hundred seventeen thousand, seventeen".