5179200 has 168 divisors, whose sum is σ = 18519648. Its totient is φ = 1259520.

The previous prime is 5179199. The next prime is 5179219. The reversal of 5179200 is 29715.

It is a super-2 number, since 2×5179200² = 53648225280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 62359 + ... + 62441.

It is an arithmetic number, because the mean of its divisors is an integer number (110236).

Almost surely, 2^5179200 is an apocalyptic number.

5179200 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 5179200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9259824).

5179200 is an abundant number, since it is smaller than the sum of its proper divisors (13340448).

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

5179200 is a wasteful number, since it uses less digits than its factorization.

5179200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 5179200 is about 2275.7855786519. The cubic root of 5179200 is about 173.0165152910.

The spelling of 5179200 in words is "five million, one hundred seventy-nine thousand, two hundred".