27493872 has 80 divisors (see below), whose sum is σ = 82947072. Its totient is φ = 7683840.

The previous prime is 27493867. The next prime is 27493889. The reversal of 27493872 is 27839472.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 14922 + ... + 16662.

Almost surely, 2^27493872 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 27493872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41473536).

27493872 is an abundant number, since it is smaller than the sum of its proper divisors (55453200).

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

27493872 is a wasteful number, since it uses less digits than its factorization.

27493872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1806 (or 1800 counting only the distinct ones).

The product of its digits is 169344, while the sum is 42.

The square root of 27493872 is about 5243.4599264226. The cubic root of 27493872 is about 301.8181148251.

Subtracting from 27493872 its product of digits (169344), we obtain a triangular number (27324528 = T₇₃₉₂).

The spelling of 27493872 in words is "twenty-seven million, four hundred ninety-three thousand, eight hundred seventy-two".