27872 has 24 divisors (see below), whose sum is σ = 59976. Its totient is φ = 12672.

The previous prime is 27851. The next prime is 27883.

27872 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (26).

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

It is a congruent number.

It is an unprimeable number.

27872 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, 383 + ... + 449.

It is an arithmetic number, because the mean of its divisors is an integer number (2499).

2²⁷⁸⁷² 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 27872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29988).

27872 is an abundant number, since it is smaller than the sum of its proper divisors (32104).

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

27872 is a wasteful number, since it uses less digits than its factorization.

27872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 82 counting only the distinct ones).

The product of its digits is 1568, while the sum is 26.

The square root of 27872 is about 166.9490940377. The cubic root of 27872 is about 30.3195471977.

The spelling of 27872 in words is "twenty-seven thousand, eight hundred seventy-two".