27729216 has 84 divisors (see below), whose sum is σ = 82470752. Its totient is φ = 9237888.

The previous prime is 27729203. The next prime is 27729217. The reversal of 27729216 is 61292772.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27729217) 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 11 ways as a sum of consecutive naturals, for example, 14661 + ... + 16443.

Almost surely, 2^27729216 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 27729216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41235376).

27729216 is an abundant number, since it is smaller than the sum of its proper divisors (54741536).

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

27729216 is an equidigital number, since it uses as much as digits as its factorization.

27729216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1810 (or 1788 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 27729216 is about 5265.8537769292. The cubic root of 27729216 is about 302.6768439806.

The spelling of 27729216 in words is "twenty-seven million, seven hundred twenty-nine thousand, two hundred sixteen".