27712272 has 80 divisors (see below), whose sum is σ = 83105792. Its totient is φ = 7793280.

The previous prime is 27712231. The next prime is 27712273. The reversal of 27712272 is 27221772.

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

It is not an unprimeable number, because it can be changed into a prime (27712273) 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, 21897 + ... + 23127.

Almost surely, 2^27712272 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 27712272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41552896).

27712272 is an abundant number, since it is smaller than the sum of its proper divisors (55393520).

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

27712272 is a wasteful number, since it uses less digits than its factorization.

27712272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316 (or 1310 counting only the distinct ones).

The product of its digits is 5488, while the sum is 30.

The square root of 27712272 is about 5264.2446751647. The cubic root of 27712272 is about 302.6151809630.

The spelling of 27712272 in words is "twenty-seven million, seven hundred twelve thousand, two hundred seventy-two".