27812772 has 72 divisors (see below), whose sum is σ = 76929216. Its totient is φ = 8420544.

The previous prime is 27812761. The next prime is 27812779. The reversal of 27812772 is 27721872.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (27812779) 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 23 ways as a sum of consecutive naturals, for example, 30913 + ... + 31799.

Almost surely, 2^27812772 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 27812772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38464608).

27812772 is an abundant number, since it is smaller than the sum of its proper divisors (49116444).

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

27812772 is a wasteful number, since it uses less digits than its factorization.

27812772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977 (or 972 counting only the distinct ones).

The product of its digits is 21952, while the sum is 36.

The square root of 27812772 is about 5273.7815654424. The cubic root of 27812772 is about 302.9805562140.

The spelling of 27812772 in words is "twenty-seven million, eight hundred twelve thousand, seven hundred seventy-two".