27538272 has 48 divisors (see below), whose sum is σ = 80322480. Its totient is φ = 9179136.

The previous prime is 27538253. The next prime is 27538279. The reversal of 27538272 is 27283572.

It is a happy number.

27538272 is a `hidden beast` number, since 275 + 382 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27538279) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15073 + ... + 16800.

It is an arithmetic number, because the mean of its divisors is an integer number (1673385).

Almost surely, 2^27538272 is an apocalyptic number.

It is an amenable number.

27538272 is an abundant number, since it is smaller than the sum of its proper divisors (52784208).

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

27538272 is a wasteful number, since it uses less digits than its factorization.

27538272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31892 (or 31878 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 27538272 is about 5247.6920641364. The cubic root of 27538272 is about 301.9804966719.

It can be divided in two parts, 2753 and 8272, that added together give a square (11025 = 105²).

The spelling of 27538272 in words is "twenty-seven million, five hundred thirty-eight thousand, two hundred seventy-two".