5171200 has 72 divisors (see below), whose sum is σ = 12948390. Its totient is φ = 2048000.

The previous prime is 5171197. The next prime is 5171209. The reversal of 5171200 is 21715.

It can be written as a sum of positive squares in 3 ways, for example, as 4875264 + 295936 = 2208^2 + 544^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (5171209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 51150 + ... + 51250.

Almost surely, 2^5171200 is an apocalyptic number.

5171200 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 5171200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6474195).

5171200 is an abundant number, since it is smaller than the sum of its proper divisors (7777190).

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

5171200 is a wasteful number, since it uses less digits than its factorization.

5171200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 16.

The square root of 5171200 is about 2274.0272645683. The cubic root of 5171200 is about 172.9273866356.

Adding to 5171200 its reverse (21715), we get a palindrome (5192915).

The spelling of 5171200 in words is "five million, one hundred seventy-one thousand, two hundred".