27997200 has 360 divisors, whose sum is σ = 122331456. Its totient is φ = 5760000.

The previous prime is 27997199. The next prime is 27997201. The reversal of 27997200 is 279972.

It is an interprime number because it is at equal distance from previous prime (27997199) and next prime (27997201).

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (27997201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 277150 + ... + 277250.

Almost surely, 2^27997200 is an apocalyptic number.

27997200 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 27997200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61165728).

27997200 is an abundant number, since it is smaller than the sum of its proper divisors (94334256).

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

27997200 is a wasteful number, since it uses less digits than its factorization.

27997200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 27997200 is about 5291.2380403834. The cubic root of 27997200 is about 303.6487748869.

Multiplying 27997200 by its reverse (279972), we get a square (7838432078400 = 2799720²).

27997200 divided by its reverse (279972) gives a square (100 = 10²).

It can be divided in two parts, 2799 and 7200, that added together give a palindrome (9999).

The spelling of 27997200 in words is "twenty-seven million, nine hundred ninety-seven thousand, two hundred".