5427200 has 78 divisors (see below), whose sum is σ = 13711734. Its totient is φ = 2129920.

The previous prime is 5427167. The next prime is 5427203. The reversal of 5427200 is 27245.

It can be written as a sum of positive squares in 3 ways, for example, as 692224 + 4734976 = 832^2 + 2176^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5427203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 102374 + ... + 102426.

Almost surely, 2^5427200 is an apocalyptic number.

5427200 is a gapful number since it is divisible by the number (50) 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 5427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6855867).

5427200 is an abundant number, since it is smaller than the sum of its proper divisors (8284534).

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

5427200 is an equidigital number, since it uses as much as digits as its factorization.

5427200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 20.

The square root of 5427200 is about 2329.6351645698. The cubic root of 5427200 is about 175.7351388022.

The spelling of 5427200 in words is "five million, four hundred twenty-seven thousand, two hundred".