5059200 has 192 divisors, whose sum is σ = 18213120. Its totient is φ = 1228800.

The previous prime is 5059199. The next prime is 5059207. The reversal of 5059200 is 29505.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (5059207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 163185 + ... + 163215.

It is an arithmetic number, because the mean of its divisors is an integer number (94860).

Almost surely, 2^5059200 is an apocalyptic number.

5059200 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 5059200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9106560).

5059200 is an abundant number, since it is smaller than the sum of its proper divisors (13153920).

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

5059200 is a wasteful number, since it uses less digits than its factorization.

5059200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 5059200 is about 2249.2665471215. The cubic root of 5059200 is about 171.6698190684.

The spelling of 5059200 in words is "five million, fifty-nine thousand, two hundred".