72948832385 has 64 divisors (see below), whose sum is σ = 104911994880. Its totient is φ = 47996686080.

The previous prime is 72948832357. The next prime is 72948832393. The reversal of 72948832385 is 58323884927.

It is not a de Polignac number, because 72948832385 - 2¹² = 72948828289 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7531976 + ... + 7541654.

It is an arithmetic number, because the mean of its divisors is an integer number (1639249920).

Almost surely, 2^72948832385 is an apocalyptic number.

It is an amenable number.

72948832385 is a deficient number, since it is larger than the sum of its proper divisors (31963162495).

72948832385 is a wasteful number, since it uses less digits than its factorization.

72948832385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9918.

The product of its digits is 23224320, while the sum is 59.

The spelling of 72948832385 in words is "seventy-two billion, nine hundred forty-eight million, eight hundred thirty-two thousand, three hundred eighty-five".