272956762728 has 192 divisors, whose sum is σ = 842122794240. Its totient is φ = 79234163712.

The previous prime is 272956762721. The next prime is 272956762739. The reversal of 272956762728 is 827267659272.

272956762728 is a `hidden beast` number, since 2 + 7 + 2 + 9 + 567 + 62 + 7 + 2 + 8 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (272956762721) 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 47 ways as a sum of consecutive naturals, for example, 1484701 + ... + 1658387.

It is an arithmetic number, because the mean of its divisors is an integer number (4386056220).

Almost surely, 2^272956762728 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 272956762728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421061397120).

272956762728 is an abundant number, since it is smaller than the sum of its proper divisors (569166031512).

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

272956762728 is a wasteful number, since it uses less digits than its factorization.

272956762728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173808 (or 173801 counting only the distinct ones).

The product of its digits is 71124480, while the sum is 63.

The spelling of 272956762728 in words is "two hundred seventy-two billion, nine hundred fifty-six million, seven hundred sixty-two thousand, seven hundred twenty-eight".