72768193 has 2 divisors, whose sum is σ = 72768194. Its totient is φ = 72768192.

The previous prime is 72768133. The next prime is 72768209. The reversal of 72768193 is 39186727.

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., 71368704 + 1399489 = 8448^2 + 1183^2 .

It is a cyclic number.

It is not a de Polignac number, because 72768193 - 2²⁵ = 39213761 is a prime.

It is not a weakly prime, because it can be changed into another prime (72768133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36384096 + 36384097.

It is an arithmetic number, because the mean of its divisors is an integer number (36384097).

Almost surely, 2^72768193 is an apocalyptic number.

It is an amenable number.

72768193 is a deficient number, since it is larger than the sum of its proper divisors (1).

72768193 is an equidigital number, since it uses as much as digits as its factorization.

72768193 is an evil number, because the sum of its binary digits is even.

The product of its digits is 127008, while the sum is 43.

The square root of 72768193 is about 8530.4274804959. The cubic root of 72768193 is about 417.4910760998.

The spelling of 72768193 in words is "seventy-two million, seven hundred sixty-eight thousand, one hundred ninety-three".