5139200 has 108 divisors (see below), whose sum is σ = 14066808. Its totient is φ = 1843200.

The previous prime is 5139179. The next prime is 5139203. The reversal of 5139200 is 29315.

It is a super-2 number, since 2×5139200² = 52822753280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (5139203) 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, 70364 + ... + 70436.

Almost surely, 2^5139200 is an apocalyptic number.

5139200 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 5139200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7033404).

5139200 is an abundant number, since it is smaller than the sum of its proper divisors (8927608).

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

5139200 is a wasteful number, since it uses less digits than its factorization.

5139200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 20.

The square root of 5139200 is about 2266.9803704488. The cubic root of 5139200 is about 172.5699499269.

The spelling of 5139200 in words is "five million, one hundred thirty-nine thousand, two hundred".