5035200 has 84 divisors (see below), whose sum is σ = 16535400. Its totient is φ = 1341440.

The previous prime is 5035189. The next prime is 5035207. The reversal of 5035200 is 25305.

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 5035200.

It is not an unprimeable number, because it can be changed into a prime (5035207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4276 + ... + 5324.

It is an arithmetic number, because the mean of its divisors is an integer number (196850).

Almost surely, 2^5035200 is an apocalyptic number.

5035200 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 5035200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8267700).

5035200 is an abundant number, since it is smaller than the sum of its proper divisors (11500200).

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

5035200 is a wasteful number, since it uses less digits than its factorization.

5035200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 15.

The square root of 5035200 is about 2243.9251324409. The cubic root of 5035200 is about 171.3979310317.

The spelling of 5035200 in words is "five million, thirty-five thousand, two hundred".