272868768 has 72 divisors (see below), whose sum is σ = 821630628. Its totient is φ = 85604352.

The previous prime is 272868763. The next prime is 272868773. The reversal of 272868768 is 867868272.

It is an interprime number because it is at equal distance from previous prime (272868763) and next prime (272868773).

It can be written as a sum of positive squares in 2 ways, for example, as 235561104 + 37307664 = 15348^2 + 6108^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (272868763) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22971 + ... + 32762.

Almost surely, 2^272868768 is an apocalyptic number.

It is an amenable number.

272868768 is an abundant number, since it is smaller than the sum of its proper divisors (548761860).

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

272868768 is a wasteful number, since it uses less digits than its factorization.

272868768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55766 (or 55755 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 54.

The square root of 272868768 is about 16518.7399035156. The cubic root of 272868768 is about 648.6114484657.

The spelling of 272868768 in words is "two hundred seventy-two million, eight hundred sixty-eight thousand, seven hundred sixty-eight".