72713671 has 2 divisors, whose sum is σ = 72713672. Its totient is φ = 72713670.

The previous prime is 72713651. The next prime is 72713677. The reversal of 72713671 is 17631727.

It is a strong prime.

It is an emirp because it is prime and its reverse (17631727) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72713671 - 2¹⁵ = 72680903 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72713677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36356835 + 36356836.

It is an arithmetic number, because the mean of its divisors is an integer number (36356836).

Almost surely, 2^72713671 is an apocalyptic number.

72713671 is a deficient number, since it is larger than the sum of its proper divisors (1).

72713671 is an equidigital number, since it uses as much as digits as its factorization.

72713671 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12348, while the sum is 34.

The square root of 72713671 is about 8527.2311449849. The cubic root of 72713671 is about 417.3867808262.

The spelling of 72713671 in words is "seventy-two million, seven hundred thirteen thousand, six hundred seventy-one".