27352152 has 96 divisors (see below), whose sum is σ = 78624000. Its totient is φ = 8572608.

The previous prime is 27352123. The next prime is 27352159. The reversal of 27352152 is 25125372.

It is a super-2 number, since 2×27352152² = 1496280438062208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27352159) 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 23 ways as a sum of consecutive naturals, for example, 137349 + ... + 137547.

It is an arithmetic number, because the mean of its divisors is an integer number (819000).

Almost surely, 2^27352152 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 27352152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39312000).

27352152 is an abundant number, since it is smaller than the sum of its proper divisors (51271848).

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

27352152 is a wasteful number, since it uses less digits than its factorization.

27352152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 310 counting only the distinct ones).

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

The square root of 27352152 is about 5229.9284889949. The cubic root of 27352152 is about 301.2986370281.

It can be divided in two parts, 273 and 52152, that added together give a palindrome (52425).

The spelling of 27352152 in words is "twenty-seven million, three hundred fifty-two thousand, one hundred fifty-two".