27682732 has 72 divisors (see below), whose sum is σ = 64366848. Its totient is φ = 10118400.

The previous prime is 27682727. The next prime is 27682751. The reversal of 27682732 is 23728672.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 27682691 and 27682700.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88857 + ... + 89167.

It is an arithmetic number, because the mean of its divisors is an integer number (893984).

Almost surely, 2^27682732 is an apocalyptic number.

27682732 is a gapful number since it is divisible by the number (22) 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 27682732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32183424).

27682732 is an abundant number, since it is smaller than the sum of its proper divisors (36684116).

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

27682732 is a wasteful number, since it uses less digits than its factorization.

27682732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 348 counting only the distinct ones).

The product of its digits is 56448, while the sum is 37.

The square root of 27682732 is about 5261.4382064223. The cubic root of 27682732 is about 302.5076181402.

The spelling of 27682732 in words is "twenty-seven million, six hundred eighty-two thousand, seven hundred thirty-two".