72531037716377 has 2 divisors, whose sum is σ = 72531037716378. Its totient is φ = 72531037716376.

The previous prime is 72531037716317. The next prime is 72531037716559. The reversal of 72531037716377 is 77361773013527.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 54279481586521 + 18251556129856 = 7367461^2 + 4272184^2 .

It is a cyclic number.

It is not a de Polignac number, because 72531037716377 - 2¹² = 72531037712281 is a prime.

It is a super-2 number, since 2×72531037716377² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (72531037716317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36265518858188 + 36265518858189.

It is an arithmetic number, because the mean of its divisors is an integer number (36265518858189).

Almost surely, 2^{72531037716377} is an apocalyptic number.

It is an amenable number.

72531037716377 is a deficient number, since it is larger than the sum of its proper divisors (1).

72531037716377 is an equidigital number, since it uses as much as digits as its factorization.

72531037716377 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27227340, while the sum is 59.

The spelling of 72531037716377 in words is "seventy-two trillion, five hundred thirty-one billion, thirty-seven million, seven hundred sixteen thousand, three hundred seventy-seven".