72768127 has 2 divisors, whose sum is σ = 72768128. Its totient is φ = 72768126.

The previous prime is 72768061. The next prime is 72768133. The reversal of 72768127 is 72186727.

It is a strong prime.

It is an emirp because it is prime and its reverse (72186727) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72768127 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72768127.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72765127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36384063 + 36384064.

It is an arithmetic number, because the mean of its divisors is an integer number (36384064).

Almost surely, 2^72768127 is an apocalyptic number.

72768127 is a deficient number, since it is larger than the sum of its proper divisors (1).

72768127 is an equidigital number, since it uses as much as digits as its factorization.

72768127 is an evil number, because the sum of its binary digits is even.

The product of its digits is 65856, while the sum is 40.

The square root of 72768127 is about 8530.4236119902. The cubic root of 72768127 is about 417.4909498797.

The spelling of 72768127 in words is "seventy-two million, seven hundred sixty-eight thousand, one hundred twenty-seven".