72853124805 has 12 divisors (see below), whose sum is σ = 126278749740. Its totient is φ = 38854999872.

The previous prime is 72853124789. The next prime is 72853124819. The reversal of 72853124805 is 50842135827.

72853124805 is a `hidden beast` number, since 72 + 8 + 531 + 2 + 48 + 0 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 32139167076 + 40713957729 = 179274^2 + 201777^2 .

It is not a de Polignac number, because 72853124805 - 2⁴ = 72853124789 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 1618958329 = 72853124805 / (7 + 2 + 8 + 5 + 3 + 1 + 2 + 4 + 8 + 0 + 5).

It is a congruent number.

It is an unprimeable number.

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 in 11 ways as a sum of consecutive naturals, for example, 809479120 + ... + 809479209.

It is an arithmetic number, because the mean of its divisors is an integer number (10523229145).

Almost surely, 2^72853124805 is an apocalyptic number.

It is an amenable number.

72853124805 is a deficient number, since it is larger than the sum of its proper divisors (53425624935).

72853124805 is a wasteful number, since it uses less digits than its factorization.

72853124805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1618958340 (or 1618958337 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 72853124805 in words is "seventy-two billion, eight hundred fifty-three million, one hundred twenty-four thousand, eight hundred five".