27772416 has 240 divisors, whose sum is σ = 97962480. Its totient is φ = 7741440.

The previous prime is 27772411. The next prime is 27772417. The reversal of 27772416 is 61427772.

It is a happy number.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27772411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 677356 + ... + 677396.

It is an arithmetic number, because the mean of its divisors is an integer number (408177).

Almost surely, 2^27772416 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 27772416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48981240).

27772416 is an abundant number, since it is smaller than the sum of its proper divisors (70190064).

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

27772416 is an equidigital number, since it uses as much as digits as its factorization.

27772416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 53 counting only the distinct ones).

The product of its digits is 32928, while the sum is 36.

The square root of 27772416 is about 5269.9540794963. The cubic root of 27772416 is about 302.8339448912.

The spelling of 27772416 in words is "twenty-seven million, seven hundred seventy-two thousand, four hundred sixteen".