27712125 has 160 divisors (see below), whose sum is σ = 65235456. Its totient is φ = 11404800.

The previous prime is 27712099. The next prime is 27712129. The reversal of 27712125 is 52121772.

It is not a de Polignac number, because 27712125 - 2⁷ = 27711997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27712129) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1204864 + ... + 1204886.

Almost surely, 2^27712125 is an apocalyptic number.

27712125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

27712125 is an abundant number, since it is smaller than the sum of its proper divisors (37523331).

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

27712125 is a wasteful number, since it uses less digits than its factorization.

27712125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 55 counting only the distinct ones).

The product of its digits is 1960, while the sum is 27.

The square root of 27712125 is about 5264.2307130292. The cubic root of 27712125 is about 302.6146458870.

Adding to 27712125 its reverse (52121772), we get a palindrome (79833897).

The spelling of 27712125 in words is "twenty-seven million, seven hundred twelve thousand, one hundred twenty-five".