27216000 has 384 divisors, whose sum is σ = 115839360. Its totient is φ = 6220800.

The previous prime is 27215987. The next prime is 27216001. The reversal of 27216000 is 61272.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27216001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3887997 + ... + 3888003.

It is an arithmetic number, because the mean of its divisors is an integer number (301665).

Almost surely, 2^27216000 is an apocalyptic number.

27216000 is a gapful number since it is divisible by the number (20) 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 27216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57919680).

27216000 is an abundant number, since it is smaller than the sum of its proper divisors (88623360).

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

27216000 is an frugal number, since it uses more digits than its factorization.

27216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 27216000 is about 5216.8956286282. The cubic root of 27216000 is about 300.7978760979.

Adding to 27216000 its reverse (61272), we get a palindrome (27277272).

It can be divided in two parts, 27 and 216000, that multiplied together give a cube (5832000 = 180³).

The spelling of 27216000 in words is "twenty-seven million, two hundred sixteen thousand".