72737663 has 2 divisors, whose sum is σ = 72737664. Its totient is φ = 72737662.

The previous prime is 72737659. The next prime is 72737689. The reversal of 72737663 is 36673727.

It is a weak prime.

It is an emirp because it is prime and its reverse (36673727) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72737663 - 2² = 72737659 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72737663.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72737603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36368831 + 36368832.

It is an arithmetic number, because the mean of its divisors is an integer number (36368832).

Almost surely, 2^72737663 is an apocalyptic number.

72737663 is a deficient number, since it is larger than the sum of its proper divisors (1).

72737663 is an equidigital number, since it uses as much as digits as its factorization.

72737663 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 222264, while the sum is 41.

The square root of 72737663 is about 8528.6378162049. The cubic root of 72737663 is about 417.4326816054.

The spelling of 72737663 in words is "seventy-two million, seven hundred thirty-seven thousand, six hundred sixty-three".