27723872 has 96 divisors (see below), whose sum is σ = 65155104. Its totient is φ = 11468800.

The previous prime is 27723853. The next prime is 27723881. The reversal of 27723872 is 27832772.

It is a super-2 number, since 2×27723872² = 1537226157344768, which contains 22 as substring.

Its product of digits (65856) is a multiple of the sum of its prime factors (192).

It is a congruent number.

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, 245288 + ... + 245400.

It is an arithmetic number, because the mean of its divisors is an integer number (678699).

Almost surely, 2^27723872 is an apocalyptic number.

27723872 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 27723872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32577552).

27723872 is an abundant number, since it is smaller than the sum of its proper divisors (37431232).

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

27723872 is a wasteful number, since it uses less digits than its factorization.

27723872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 184 counting only the distinct ones).

The product of its digits is 65856, while the sum is 38.

The square root of 27723872 is about 5265.3463323888. The cubic root of 27723872 is about 302.6573986782.

Subtracting 27723872 from its reverse (27832772), we obtain a square (108900 = 330²).

The spelling of 27723872 in words is "twenty-seven million, seven hundred twenty-three thousand, eight hundred seventy-two".