72086593 has 2 divisors, whose sum is σ = 72086594. Its totient is φ = 72086592.

The previous prime is 72086591. The next prime is 72086611. The reversal of 72086593 is 39568027.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 51365889 + 20720704 = 7167^2 + 4552^2 .

It is a cyclic number.

It is not a de Polignac number, because 72086593 - 2¹ = 72086591 is a prime.

Together with 72086591, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (72086591) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36043296 + 36043297.

It is an arithmetic number, because the mean of its divisors is an integer number (36043297).

Almost surely, 2^72086593 is an apocalyptic number.

It is an amenable number.

72086593 is a deficient number, since it is larger than the sum of its proper divisors (1).

72086593 is an equidigital number, since it uses as much as digits as its factorization.

72086593 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 72086593 is about 8490.3823824372. The cubic root of 72086593 is about 416.1834762192.

The spelling of 72086593 in words is "seventy-two million, eighty-six thousand, five hundred ninety-three".