72157430372509 has 2 divisors, whose sum is σ = 72157430372510. Its totient is φ = 72157430372508.

The previous prime is 72157430372383. The next prime is 72157430372513. The reversal of 72157430372509 is 90527303475127.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 51534451562500 + 20622978810009 = 7178750^2 + 4541253^2 .

It is an emirp because it is prime and its reverse (90527303475127) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72157430372509 - 2¹⁷ = 72157430241437 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72157430372509.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72157430372579) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36078715186254 + 36078715186255.

It is an arithmetic number, because the mean of its divisors is an integer number (36078715186255).

Almost surely, 2^{72157430372509} is an apocalyptic number.

It is an amenable number.

72157430372509 is a deficient number, since it is larger than the sum of its proper divisors (1).

72157430372509 is an equidigital number, since it uses as much as digits as its factorization.

72157430372509 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11113200, while the sum is 55.

The spelling of 72157430372509 in words is "seventy-two trillion, one hundred fifty-seven billion, four hundred thirty million, three hundred seventy-two thousand, five hundred nine".