27312000 has 128 divisors (see below), whose sum is σ = 90698400. Its totient is φ = 7270400.

The previous prime is 27311989. The next prime is 27312007. The reversal of 27312000 is 21372.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27312007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47716 + ... + 48284.

Almost surely, 2^27312000 is an apocalyptic number.

27312000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45349200).

27312000 is an abundant number, since it is smaller than the sum of its proper divisors (63386400).

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

27312000 is an equidigital number, since it uses as much as digits as its factorization.

27312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 27312000 is about 5226.0884033855. The cubic root of 27312000 is about 301.1511328830.

Adding to 27312000 its reverse (21372), we get a palindrome (27333372).

The spelling of 27312000 in words is "twenty-seven million, three hundred twelve thousand".