72013663 has 2 divisors, whose sum is σ = 72013664. Its totient is φ = 72013662.

The previous prime is 72013661. The next prime is 72013679. The reversal of 72013663 is 36631027.

It is a weak prime.

It is an emirp because it is prime and its reverse (36631027) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72013663 - 2¹ = 72013661 is a prime.

Together with 72013661, it forms a pair of twin primes.

It is equal to p_4229416 and since 72013663 and 4229416 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72013661) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36006831 + 36006832.

It is an arithmetic number, because the mean of its divisors is an integer number (36006832).

Almost surely, 2^72013663 is an apocalyptic number.

72013663 is a deficient number, since it is larger than the sum of its proper divisors (1).

72013663 is an equidigital number, since it uses as much as digits as its factorization.

72013663 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4536, while the sum is 28.

The square root of 72013663 is about 8486.0864360434. The cubic root of 72013663 is about 416.0430779324.

The spelling of 72013663 in words is "seventy-two million, thirteen thousand, six hundred sixty-three".