5009200 has 60 divisors (see below), whose sum is σ = 13761520. Its totient is φ = 1716480.

The previous prime is 5009167. The next prime is 5009233. The reversal of 5009200 is 29005.

It is an interprime number because it is at equal distance from previous prime (5009167) and next prime (5009233).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1906 + ... + 3694.

Almost surely, 2^5009200 is an apocalyptic number.

5009200 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 5009200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6880760).

5009200 is an abundant number, since it is smaller than the sum of its proper divisors (8752320).

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

5009200 is a wasteful number, since it uses less digits than its factorization.

5009200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1814 (or 1803 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 5009200 is about 2238.1242146047. The cubic root of 5009200 is about 171.1024089326.

The spelling of 5009200 in words is "five million, nine thousand, two hundred".