5029200 has 180 divisors, whose sum is σ = 19189248. Its totient is φ = 1209600.

The previous prime is 5029187. The next prime is 5029201. The reversal of 5029200 is 29205.

5029200 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5029201) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 39537 + ... + 39663.

Almost surely, 2^5029200 is an apocalyptic number.

5029200 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 5029200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9594624).

5029200 is an abundant number, since it is smaller than the sum of its proper divisors (14160048).

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

5029200 is a wasteful number, since it uses less digits than its factorization.

5029200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 5029200 is about 2242.5877909237. The cubic root of 5029200 is about 171.3298240822.

The spelling of 5029200 in words is "five million, twenty-nine thousand, two hundred".