27072 has 42 divisors (see below), whose sum is σ = 79248. Its totient is φ = 8832.

The previous prime is 27067. The next prime is 27073.

27072 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27073) by changing a digit.

27072 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 553 + ... + 599.

2²⁷⁰⁷² 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 27072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39624).

27072 is an abundant number, since it is smaller than the sum of its proper divisors (52176).

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

27072 is a wasteful number, since it uses less digits than its factorization.

27072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 18.

The square root of 27072 is about 164.5357104096. The cubic root of 27072 is about 30.0266429980.

The spelling of 27072 in words is "twenty-seven thousand, seventy-two", and thus it is an iban number.