27642252 has 48 divisors (see below), whose sum is σ = 70785792. Its totient is φ = 8326080.

The previous prime is 27642247. The next prime is 27642281. The reversal of 27642252 is 25224672.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25473 + ... + 26535.

It is an arithmetic number, because the mean of its divisors is an integer number (1474704).

Almost surely, 2^27642252 is an apocalyptic number.

27642252 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 27642252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35392896).

27642252 is an abundant number, since it is smaller than the sum of its proper divisors (43143540).

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

27642252 is a wasteful number, since it uses less digits than its factorization.

27642252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278 (or 1276 counting only the distinct ones).

The product of its digits is 13440, while the sum is 30.

The square root of 27642252 is about 5257.5899421693. The cubic root of 27642252 is about 302.3600955855.

The spelling of 27642252 in words is "twenty-seven million, six hundred forty-two thousand, two hundred fifty-two".