27432 has 32 divisors (see below), whose sum is σ = 76800. Its totient is φ = 9072.

The previous prime is 27431. The next prime is 27437. The reversal of 27432 is 23472.

It is a happy number.

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 nialpdrome in base 6 and base 13.

It is not an unprimeable number, because it can be changed into a prime (27431) 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 7 ways as a sum of consecutive naturals, for example, 153 + ... + 279.

It is an arithmetic number, because the mean of its divisors is an integer number (2400).

2²⁷⁴³² 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 27432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38400).

27432 is an abundant number, since it is smaller than the sum of its proper divisors (49368).

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

27432 is a wasteful number, since it uses less digits than its factorization.

27432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 132 counting only the distinct ones).

The product of its digits is 336, while the sum is 18.

The square root of 27432 is about 165.6260849021. The cubic root of 27432 is about 30.1591541719.

It can be divided in two parts, 27 and 432, that multiplied together give a square (11664 = 108²).

The spelling of 27432 in words is "twenty-seven thousand, four hundred thirty-two".