72115193 has 2 divisors, whose sum is σ = 72115194. Its totient is φ = 72115192.

The previous prime is 72115181. The next prime is 72115259. The reversal of 72115193 is 39151127.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71690089 + 425104 = 8467^2 + 652^2 .

It is an emirp because it is prime and its reverse (39151127) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72115193 - 2¹⁴ = 72098809 is a prime.

It is a super-2 number, since 2×72115193² = 10401202122854498, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (72114193) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36057596 + 36057597.

It is an arithmetic number, because the mean of its divisors is an integer number (36057597).

Almost surely, 2^72115193 is an apocalyptic number.

It is an amenable number.

72115193 is a deficient number, since it is larger than the sum of its proper divisors (1).

72115193 is an equidigital number, since it uses as much as digits as its factorization.

72115193 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1890, while the sum is 29.

The square root of 72115193 is about 8492.0664740686. The cubic root of 72115193 is about 416.2385085219.

The spelling of 72115193 in words is "seventy-two million, one hundred fifteen thousand, one hundred ninety-three".