272768256 has 288 divisors, whose sum is σ = 889548800. Its totient is φ = 82114560.

The previous prime is 272768239. The next prime is 272768257. The reversal of 272768256 is 652867272.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272768257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4071135 + ... + 4071201.

Almost surely, 2^272768256 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 272768256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444774400).

272768256 is an abundant number, since it is smaller than the sum of its proper divisors (616780544).

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

272768256 is a wasteful number, since it uses less digits than its factorization.

272768256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 122 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 272768256 is about 16515.6972604853. The cubic root of 272768256 is about 648.5317993842.

The spelling of 272768256 in words is "two hundred seventy-two million, seven hundred sixty-eight thousand, two hundred fifty-six".