5219200 has 96 divisors (see below), whose sum is σ = 14798160. Its totient is φ = 1781760.

The previous prime is 5219143. The next prime is 5219219. The reversal of 5219200 is 29125.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22284 + ... + 22516.

Almost surely, 2^5219200 is an apocalyptic number.

5219200 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 5219200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7399080).

5219200 is an abundant number, since it is smaller than the sum of its proper divisors (9578960).

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

5219200 is a wasteful number, since it uses less digits than its factorization.

5219200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 5219200 is about 2284.5568498070. The cubic root of 5219200 is about 173.4607872581.

The spelling of 5219200 in words is "five million, two hundred nineteen thousand, two hundred".