27382752 has 96 divisors (see below), whose sum is σ = 81920160. Its totient is φ = 8893440.

The previous prime is 27382741. The next prime is 27382753. The reversal of 27382752 is 25728372.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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 (27382753) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35038 + ... + 35810.

It is an arithmetic number, because the mean of its divisors is an integer number (853335).

Almost surely, 2^27382752 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 27382752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40960080).

27382752 is an abundant number, since it is smaller than the sum of its proper divisors (54537408).

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

27382752 is a wasteful number, since it uses less digits than its factorization.

27382752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833 (or 819 counting only the distinct ones).

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

The square root of 27382752 is about 5232.8531414516. The cubic root of 27382752 is about 301.4109536295.

The spelling of 27382752 in words is "twenty-seven million, three hundred eighty-two thousand, seven hundred fifty-two".