72152515177013 has 2 divisors, whose sum is σ = 72152515177014. Its totient is φ = 72152515177012.

The previous prime is 72152515176971. The next prime is 72152515177021. The reversal of 72152515177013 is 31077151525127.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61339315491364 + 10813199685649 = 7831942^2 + 3288343^2 .

It is a cyclic number.

It is not a de Polignac number, because 72152515177013 - 2²⁰ = 72152514128437 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72152515177313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36076257588506 + 36076257588507.

It is an arithmetic number, because the mean of its divisors is an integer number (36076257588507).

Almost surely, 2^{72152515177013} is an apocalyptic number.

It is an amenable number.

72152515177013 is a deficient number, since it is larger than the sum of its proper divisors (1).

72152515177013 is an equidigital number, since it uses as much as digits as its factorization.

72152515177013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 514500, while the sum is 47.

The spelling of 72152515177013 in words is "seventy-two trillion, one hundred fifty-two billion, five hundred fifteen million, one hundred seventy-seven thousand, thirteen".