27315200 has 132 divisors (see below), whose sum is σ = 74625432. Its totient is φ = 9830400.

The previous prime is 27315173. The next prime is 27315229. The reversal of 27315200 is 251372.

It is a super-2 number, since 2×27315200² = 1492240302080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 11 ways as a sum of consecutive naturals, for example, 281552 + ... + 281648.

Almost surely, 2^27315200 is an apocalyptic number.

27315200 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 27315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37312716).

27315200 is an abundant number, since it is smaller than the sum of its proper divisors (47310232).

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

27315200 is a wasteful number, since it uses less digits than its factorization.

27315200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 27315200 is about 5226.3945507395. The cubic root of 27315200 is about 301.1628938426.

Adding to 27315200 its reverse (251372), we get a palindrome (27566572).

The spelling of 27315200 in words is "twenty-seven million, three hundred fifteen thousand, two hundred".