27735156 has 48 divisors (see below), whose sum is σ = 72938880. Its totient is φ = 9112320.

The previous prime is 27735151. The next prime is 27735157. The reversal of 27735156 is 65153772.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 27735156.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27735151) 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 15 ways as a sum of consecutive naturals, for example, 5860 + ... + 9476.

It is an arithmetic number, because the mean of its divisors is an integer number (1519560).

Almost surely, 2^27735156 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 27735156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36469440).

27735156 is an abundant number, since it is smaller than the sum of its proper divisors (45203724).

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

27735156 is a wasteful number, since it uses less digits than its factorization.

27735156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3701 (or 3693 counting only the distinct ones).

The product of its digits is 44100, while the sum is 36.

The square root of 27735156 is about 5266.4177578312. The cubic root of 27735156 is about 302.6984550266.

The spelling of 27735156 in words is "twenty-seven million, seven hundred thirty-five thousand, one hundred fifty-six".