72011252810117 has 2 divisors, whose sum is σ = 72011252810118. Its totient is φ = 72011252810116.

The previous prime is 72011252810053. The next prime is 72011252810171. The reversal of 72011252810117 is 71101825211027.

Together with next prime (72011252810171) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71930736477601 + 80516332516 = 8481199^2 + 283754^2 .

It is a cyclic number.

It is not a de Polignac number, because 72011252810117 - 2⁶ = 72011252810053 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72011252810177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36005626405058 + 36005626405059.

It is an arithmetic number, because the mean of its divisors is an integer number (36005626405059).

Almost surely, 2^{72011252810117} is an apocalyptic number.

It is an amenable number.

72011252810117 is a deficient number, since it is larger than the sum of its proper divisors (1).

72011252810117 is an equidigital number, since it uses as much as digits as its factorization.

72011252810117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15680, while the sum is 38.

The spelling of 72011252810117 in words is "seventy-two trillion, eleven billion, two hundred fifty-two million, eight hundred ten thousand, one hundred seventeen".