27472 has 20 divisors (see below), whose sum is σ = 56916. Its totient is φ = 12800.

The previous prime is 27457. The next prime is 27479.

27472 is nontrivially palindromic in base 9 and base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 24336 + 3136 = 156^2 + 56^2 .

It is a d-powerful number, because it can be written as 2³ + 7⁴ + 4³ + 7⁵ + 2¹³ .

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

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27479) by changing a digit.

27472 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 222 + ... + 322.

2²⁷⁴⁷² 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 27472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28458).

27472 is an abundant number, since it is smaller than the sum of its proper divisors (29444).

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

27472 is a wasteful number, since it uses less digits than its factorization.

27472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 120 counting only the distinct ones).

The product of its digits is 784, while the sum is 22.

The square root of 27472 is about 165.7467948408. The cubic root of 27472 is about 30.1738059203.

The spelling of 27472 in words is "twenty-seven thousand, four hundred seventy-two", and thus it is an iban number.