5267200 has 54 divisors (see below), whose sum is σ = 13052984. Its totient is φ = 2104320.

The previous prime is 5267191. The next prime is 5267201. The reversal of 5267200 is 27625.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5267201) 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, 5989 + ... + 6811.

Almost surely, 2^5267200 is an apocalyptic number.

5267200 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 5267200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6526492).

5267200 is an abundant number, since it is smaller than the sum of its proper divisors (7785784).

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

5267200 is an equidigital number, since it uses as much as digits as its factorization.

5267200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 5267200 is about 2295.0381260450. The cubic root of 5267200 is about 173.9909274346.

The spelling of 5267200 in words is "five million, two hundred sixty-seven thousand, two hundred".