272288641536 has 120 divisors (see below), whose sum is σ = 786561854364. Its totient is φ = 90679910400.

The previous prime is 272288641531. The next prime is 272288641549. The reversal of 272288641536 is 635146882272.

272288641536 is a `hidden beast` number, since 2 + 7 + 2 + 28 + 86 + 4 + 1 + 536 = 666.

272288641536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 269485574400 + 2803067136 = 519120^2 + 52944^2 .

It is a super-2 number, since 2×272288641536² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (272288641531) by changing a digit.

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, 5120686 + ... + 5173586.

Almost surely, 2^272288641536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272288641536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393280927182).

272288641536 is an abundant number, since it is smaller than the sum of its proper divisors (514273212828).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

272288641536 is a wasteful number, since it uses less digits than its factorization.

272288641536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54042 (or 54023 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 272288641536 in words is "two hundred seventy-two billion, two hundred eighty-eight million, six hundred forty-one thousand, five hundred thirty-six".