27125632 has 32 divisors (see below), whose sum is σ = 54798480. Its totient is φ = 13372416.

The previous prime is 27125611. The next prime is 27125633. The reversal of 27125632 is 23652172.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×27125632² = 1471599822798848, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 27125632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27125633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7893 + ... + 10795.

Almost surely, 2^27125632 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 27125632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27399240).

27125632 is an abundant number, since it is smaller than the sum of its proper divisors (27672848).

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

27125632 is an equidigital number, since it uses as much as digits as its factorization.

27125632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2990 (or 2978 counting only the distinct ones).

The product of its digits is 5040, while the sum is 28.

The square root of 27125632 is about 5208.2273375881. The cubic root of 27125632 is about 300.4645838717.

The spelling of 27125632 in words is "twenty-seven million, one hundred twenty-five thousand, six hundred thirty-two".