27272064 has 128 divisors (see below), whose sum is σ = 78336000. Its totient is φ = 8386560.

The previous prime is 27271991. The next prime is 27272099. The reversal of 27272064 is 46027272.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 345177 + ... + 345255.

It is an arithmetic number, because the mean of its divisors is an integer number (612000).

Almost surely, 2^27272064 is an apocalyptic number.

27272064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27272064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39168000).

27272064 is an abundant number, since it is smaller than the sum of its proper divisors (51063936).

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

27272064 is a wasteful number, since it uses less digits than its factorization.

27272064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 27272064 is about 5222.2661747559. The cubic root of 27272064 is about 301.0042787735.

The spelling of 27272064 in words is "twenty-seven million, two hundred seventy-two thousand, sixty-four".