27712000 has 80 divisors (see below), whose sum is σ = 69261192. Its totient is φ = 11059200.

The previous prime is 27711997. The next prime is 27712021. The reversal of 27712000 is 21772.

It can be written as a sum of positive squares in 4 ways, for example, as 3268864 + 24443136 = 1808^2 + 4944^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63784 + ... + 64216.

Almost surely, 2^27712000 is an apocalyptic number.

27712000 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 27712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34630596).

27712000 is an abundant number, since it is smaller than the sum of its proper divisors (41549192).

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

27712000 is an frugal number, since it uses more digits than its factorization.

27712000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 19.

The square root of 27712000 is about 5264.2188404359. The cubic root of 27712000 is about 302.6141908890.

Adding to 27712000 its reverse (21772), we get a palindrome (27733772).

The spelling of 27712000 in words is "twenty-seven million, seven hundred twelve thousand".