5071200 has 72 divisors (see below), whose sum is σ = 16514568. Its totient is φ = 1351680.

The previous prime is 5071193. The next prime is 5071211. The reversal of 5071200 is 21705.

It is a happy number.

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 5071200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1344 + ... + 3456.

It is an arithmetic number, because the mean of its divisors is an integer number (229369).

Almost surely, 2^5071200 is an apocalyptic number.

5071200 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 5071200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8257284).

5071200 is an abundant number, since it is smaller than the sum of its proper divisors (11443368).

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

5071200 is a wasteful number, since it uses less digits than its factorization.

5071200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2136 (or 2123 counting only the distinct ones).

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

The square root of 5071200 is about 2251.9325034290. The cubic root of 5071200 is about 171.8054407231.

Adding to 5071200 its reverse (21705), we get a palindrome (5092905).

It can be divided in two parts, 507 and 1200, that multiplied together give a square (608400 = 780²).

The spelling of 5071200 in words is "five million, seventy-one thousand, two hundred".