272804157906 has 192 divisors, whose sum is σ = 705700638720. Its totient is φ = 69795976320.

The previous prime is 272804157881. The next prime is 272804157929. The reversal of 272804157906 is 609751408272.

It is a happy number.

272804157906 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 95 ways as a sum of consecutive naturals, for example, 7427820 + ... + 7464456.

It is an arithmetic number, because the mean of its divisors is an integer number (3675524160).

Almost surely, 2^272804157906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272804157906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352850319360).

272804157906 is an abundant number, since it is smaller than the sum of its proper divisors (432896480814).

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

272804157906 is a wasteful number, since it uses less digits than its factorization.

272804157906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36749 (or 36742 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 51.

The spelling of 272804157906 in words is "two hundred seventy-two billion, eight hundred four million, one hundred fifty-seven thousand, nine hundred six".