72909408673 has 2 divisors, whose sum is σ = 72909408674. Its totient is φ = 72909408672.

The previous prime is 72909408659. The next prime is 72909408697. The reversal of 72909408673 is 37680490927.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 48714228369 + 24195180304 = 220713^2 + 155548^2 .

It is a cyclic number.

It is not a de Polignac number, because 72909408673 - 2¹³ = 72909400481 is a prime.

It is not a weakly prime, because it can be changed into another prime (72909408973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36454704336 + 36454704337.

It is an arithmetic number, because the mean of its divisors is an integer number (36454704337).

Almost surely, 2^72909408673 is an apocalyptic number.

It is an amenable number.

72909408673 is a deficient number, since it is larger than the sum of its proper divisors (1).

72909408673 is an equidigital number, since it uses as much as digits as its factorization.

72909408673 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4572288, while the sum is 55.

The spelling of 72909408673 in words is "seventy-two billion, nine hundred nine million, four hundred eight thousand, six hundred seventy-three".