72082662521 has 2 divisors, whose sum is σ = 72082662522. Its totient is φ = 72082662520.

The previous prime is 72082662461. The next prime is 72082662571. The reversal of 72082662521 is 12526628027.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71885653225 + 197009296 = 268115^2 + 14036^2 .

It is an emirp because it is prime and its reverse (12526628027) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72082662521 is a prime.

It is a super-2 number, since 2×72082662521² (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (72082662571) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36041331260 + 36041331261.

It is an arithmetic number, because the mean of its divisors is an integer number (36041331261).

Almost surely, 2^72082662521 is an apocalyptic number.

It is an amenable number.

72082662521 is a deficient number, since it is larger than the sum of its proper divisors (1).

72082662521 is an equidigital number, since it uses as much as digits as its factorization.

72082662521 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 161280, while the sum is 41.

The spelling of 72082662521 in words is "seventy-two billion, eighty-two million, six hundred sixty-two thousand, five hundred twenty-one".