271114272 has 288 divisors, whose sum is σ = 941129280. Its totient is φ = 72898560.

The previous prime is 271114247. The next prime is 271114279. The reversal of 271114272 is 272411172.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (271114279) 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 47 ways as a sum of consecutive naturals, for example, 1194223 + ... + 1194449.

It is an arithmetic number, because the mean of its divisors is an integer number (3267810).

Almost surely, 2^271114272 is an apocalyptic number.

271114272 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 271114272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470564640).

271114272 is an abundant number, since it is smaller than the sum of its proper divisors (670015008).

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

271114272 is a wasteful number, since it uses less digits than its factorization.

271114272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 285 counting only the distinct ones).

The product of its digits is 1568, while the sum is 27.

The square root of 271114272 is about 16465.5480321792. The cubic root of 271114272 is about 647.2183075257.

The spelling of 271114272 in words is "two hundred seventy-one million, one hundred fourteen thousand, two hundred seventy-two".