72082601993 has 2 divisors, whose sum is σ = 72082601994. Its totient is φ = 72082601992.

The previous prime is 72082601959. The next prime is 72082602013. The reversal of 72082601993 is 39910628027.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 46927690384 + 25154911609 = 216628^2 + 158603^2 .

It is an emirp because it is prime and its reverse (39910628027) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72082601993 - 2¹⁴ = 72082585609 is a prime.

It is not a weakly prime, because it can be changed into another prime (72082601953) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36041300996 + 36041300997.

It is an arithmetic number, because the mean of its divisors is an integer number (36041300997).

Almost surely, 2^72082601993 is an apocalyptic number.

It is an amenable number.

72082601993 is a deficient number, since it is larger than the sum of its proper divisors (1).

72082601993 is an equidigital number, since it uses as much as digits as its factorization.

72082601993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 326592, while the sum is 47.

The spelling of 72082601993 in words is "seventy-two billion, eighty-two million, six hundred one thousand, nine hundred ninety-three".