27325152 has 72 divisors (see below), whose sum is σ = 78755040. Its totient is φ = 8985600.

The previous prime is 27325139. The next prime is 27325153. The reversal of 27325152 is 25152372.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27325153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22152 + ... + 23352.

It is an arithmetic number, because the mean of its divisors is an integer number (1093820).

Almost surely, 2^27325152 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 27325152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39377520).

27325152 is an abundant number, since it is smaller than the sum of its proper divisors (51429888).

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

27325152 is a wasteful number, since it uses less digits than its factorization.

27325152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296 (or 1285 counting only the distinct ones).

The product of its digits is 4200, while the sum is 27.

The square root of 27325152 is about 5227.3465544194. The cubic root of 27325152 is about 301.1994645578.

It can be divided in two parts, 273 and 25152, that added together give a triangular number (25425 = T₂₂₅).

The spelling of 27325152 in words is "twenty-seven million, three hundred twenty-five thousand, one hundred fifty-two".