72921104289 has 24 divisors (see below), whose sum is σ = 115280317152. Its totient is φ = 44050633920.

The previous prime is 72921104233. The next prime is 72921104299. The reversal of 72921104289 is 98240112927.

72921104289 is a `hidden beast` number, since 7 + 2 + 9 + 211 + 0 + 428 + 9 = 666.

It is not a de Polignac number, because 72921104289 - 2¹⁶ = 72921038753 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72921104209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1169244 + ... + 1230029.

It is an arithmetic number, because the mean of its divisors is an integer number (4803346548).

Almost surely, 2^72921104289 is an apocalyptic number.

It is an amenable number.

72921104289 is a deficient number, since it is larger than the sum of its proper divisors (42359212863).

72921104289 is a wasteful number, since it uses less digits than its factorization.

72921104289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2399597 (or 2399594 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 72921104289 in words is "seventy-two billion, nine hundred twenty-one million, one hundred four thousand, two hundred eighty-nine".