27132672 has 144 divisors (see below), whose sum is σ = 85030400. Its totient is φ = 7676928.

The previous prime is 27132667. The next prime is 27132673. The reversal of 27132672 is 27623172.

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

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (27132673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 263373 + ... + 263475.

Almost surely, 2^27132672 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 27132672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42515200).

27132672 is an abundant number, since it is smaller than the sum of its proper divisors (57897728).

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

27132672 is an equidigital number, since it uses as much as digits as its factorization.

27132672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 115 counting only the distinct ones).

The product of its digits is 7056, while the sum is 30.

The square root of 27132672 is about 5208.9031474966. The cubic root of 27132672 is about 300.4905751273.

The spelling of 27132672 in words is "twenty-seven million, one hundred thirty-two thousand, six hundred seventy-two".