72853667757 has 40 divisors (see below), whose sum is σ = 118277824280. Its totient is φ = 44421644160.

The previous prime is 72853667717. The next prime is 72853667759. The reversal of 72853667757 is 75776635827.

72853667757 is a `hidden beast` number, since 7 + 28 + 536 + 6 + 7 + 75 + 7 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 506655081 + 72347012676 = 22509^2 + 268974^2 .

It is not a de Polignac number, because 72853667757 - 2⁷ = 72853667629 is a prime.

It is a super-2 number, since 2×72853667757² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72853667694 and 72853667703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72853667759) 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 39 ways as a sum of consecutive naturals, for example, 202594 + ... + 432147.

It is an arithmetic number, because the mean of its divisors is an integer number (2956945607).

Almost surely, 2^72853667757 is an apocalyptic number.

It is an amenable number.

72853667757 is a deficient number, since it is larger than the sum of its proper divisors (45424156523).

72853667757 is a wasteful number, since it uses less digits than its factorization.

72853667757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634875 (or 634866 counting only the distinct ones).

The product of its digits is 103723200, while the sum is 63.

The spelling of 72853667757 in words is "seventy-two billion, eight hundred fifty-three million, six hundred sixty-seven thousand, seven hundred fifty-seven".