27272 has 16 divisors (see below), whose sum is σ = 58560. Its totient is φ = 11664.

The previous prime is 27271. The next prime is 27277.

27272 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between even and odd.

27272 is an undulating number in base 10.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (27271) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 188 + ... + 299.

It is an arithmetic number, because the mean of its divisors is an integer number (3660).

2²⁷²⁷² is an apocalyptic number.

It is an amenable number.

27272 is an abundant number, since it is smaller than the sum of its proper divisors (31288).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29280).

27272 is a wasteful number, since it uses less digits than its factorization.

27272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 496 counting only the distinct ones).

The product of its digits is 392, while the sum is 20.

The square root of 27272 is about 165.1423628267. The cubic root of 27272 is about 30.1004043315.

The spelling of 27272 in words is "twenty-seven thousand, two hundred seventy-two", and thus it is an iban number.