27201312 has 96 divisors (see below), whose sum is σ = 83563200. Its totient is φ = 8584704.

The previous prime is 27201289. The next prime is 27201319. The reversal of 27201312 is 21310272.

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

It is a super-2 number, since 2×27201312² = 1479822749042688, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (27201319) 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, 15588 + ... + 17244.

It is an arithmetic number, because the mean of its divisors is an integer number (870450).

Almost surely, 2^27201312 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 27201312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41781600).

27201312 is an abundant number, since it is smaller than the sum of its proper divisors (56361888).

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

27201312 is a wasteful number, since it uses less digits than its factorization.

27201312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1695 (or 1681 counting only the distinct ones).

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

The square root of 27201312 is about 5215.4877049035. The cubic root of 27201312 is about 300.7437545733.

Adding to 27201312 its reverse (21310272), we get a palindrome (48511584).

The spelling of 27201312 in words is "twenty-seven million, two hundred one thousand, three hundred twelve".