27225312 has 48 divisors (see below), whose sum is σ = 73220112. Its totient is φ = 8852480.

The previous prime is 27225311. The next prime is 27225323. The reversal of 27225312 is 21352272.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×27225312² = 1482435226994688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27225311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 478 + ... + 7394.

It is an arithmetic number, because the mean of its divisors is an integer number (1525419).

Almost surely, 2^27225312 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 27225312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36610056).

27225312 is an abundant number, since it is smaller than the sum of its proper divisors (45994800).

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

27225312 is a wasteful number, since it uses less digits than its factorization.

27225312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6971 (or 6963 counting only the distinct ones).

The product of its digits is 1680, while the sum is 24.

The square root of 27225312 is about 5217.7880370900. The cubic root of 27225312 is about 300.8321783517.

Adding to 27225312 its reverse (21352272), we get a palindrome (48577584).

The spelling of 27225312 in words is "twenty-seven million, two hundred twenty-five thousand, three hundred twelve".