72854013105 has 24 divisors (see below), whose sum is σ = 130353849600. Its totient is φ = 37602070560.

The previous prime is 72854013091. The next prime is 72854013119. The reversal of 72854013105 is 50131045827.

72854013105 is a `hidden beast` number, since 7 + 2 + 8 + 540 + 1 + 3 + 105 = 666.

It is an interprime number because it is at equal distance from previous prime (72854013091) and next prime (72854013119).

It is not a de Polignac number, because 72854013105 - 2⁷ = 72854012977 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72854013105.

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, 26111155 + ... + 26113944.

It is an arithmetic number, because the mean of its divisors is an integer number (5431410400).

Almost surely, 2^72854013105 is an apocalyptic number.

It is an amenable number.

72854013105 is a deficient number, since it is larger than the sum of its proper divisors (57499836495).

72854013105 is a wasteful number, since it uses less digits than its factorization.

72854013105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52225141 (or 52225138 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 72854013105 in words is "seventy-two billion, eight hundred fifty-four million, thirteen thousand, one hundred five".