72948918805 has 24 divisors (see below), whose sum is σ = 101946622680. Its totient is φ = 49965189120.

The previous prime is 72948918751. The next prime is 72948918817. The reversal of 72948918805 is 50881984927.

It can be written as a sum of positive squares in 4 ways, for example, as 27857284 + 72921061521 = 5278^2 + 270039^2 .

It is not a de Polignac number, because 72948918805 - 2¹⁵ = 72948886037 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46861 + ... + 384829.

It is an arithmetic number, because the mean of its divisors is an integer number (4247775945).

Almost surely, 2^72948918805 is an apocalyptic number.

It is an amenable number.

72948918805 is a deficient number, since it is larger than the sum of its proper divisors (28997703875).

72948918805 is a wasteful number, since it uses less digits than its factorization.

72948918805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338869 (or 338862 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 61.

The spelling of 72948918805 in words is "seventy-two billion, nine hundred forty-eight million, nine hundred eighteen thousand, eight hundred five".