72082393 has 2 divisors, whose sum is σ = 72082394. Its totient is φ = 72082392.

The previous prime is 72082343. The next prime is 72082411. The reversal of 72082393 is 39328027.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71961289 + 121104 = 8483^2 + 348^2 .

It is an emirp because it is prime and its reverse (39328027) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72082393 - 2²⁵ = 38527961 is a prime.

It is not a weakly prime, because it can be changed into another prime (72082303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36041196 + 36041197.

It is an arithmetic number, because the mean of its divisors is an integer number (36041197).

Almost surely, 2^72082393 is an apocalyptic number.

It is an amenable number.

72082393 is a deficient number, since it is larger than the sum of its proper divisors (1).

72082393 is an equidigital number, since it uses as much as digits as its factorization.

72082393 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 72082393 is about 8490.1350401510. The cubic root of 72082393 is about 416.1753933266.

The spelling of 72082393 in words is "seventy-two million, eighty-two thousand, three hundred ninety-three".