27457872 has 80 divisors (see below), whose sum is σ = 77495040. Its totient is φ = 8326656.

The previous prime is 27457861. The next prime is 27457877. The reversal of 27457872 is 27875472.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27457877) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49018 + ... + 49574.

It is an arithmetic number, because the mean of its divisors is an integer number (968688).

Almost surely, 2^27457872 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 27457872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38747520).

27457872 is an abundant number, since it is smaller than the sum of its proper divisors (50037168).

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

27457872 is a wasteful number, since it uses less digits than its factorization.

27457872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 654 counting only the distinct ones).

The product of its digits is 219520, while the sum is 42.

The square root of 27457872 is about 5240.0259541342. The cubic root of 27457872 is about 301.6863254827.

The spelling of 27457872 in words is "twenty-seven million, four hundred fifty-seven thousand, eight hundred seventy-two".