5017200 has 120 divisors (see below), whose sum is σ = 16652208. Its totient is φ = 1290240.

The previous prime is 5017141. The next prime is 5017231. The reversal of 5017200 is 27105.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 5017200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44344 + ... + 44456.

Almost surely, 2^5017200 is an apocalyptic number.

5017200 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 5017200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8326104).

5017200 is an abundant number, since it is smaller than the sum of its proper divisors (11635008).

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

5017200 is a wasteful number, since it uses less digits than its factorization.

5017200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 5017200 is about 2239.9107125062. The cubic root of 5017200 is about 171.1934475030.

The spelling of 5017200 in words is "five million, seventeen thousand, two hundred".