5272200 has 144 divisors (see below), whose sum is σ = 18497700. Its totient is φ = 1344000.

The previous prime is 5272153. The next prime is 5272207. The reversal of 5272200 is 22725.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 3481956 + 1790244 = 1866^2 + 1338^2 .

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

It is not an unprimeable number, because it can be changed into a prime (5272207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 52150 + ... + 52250.

Almost surely, 2^5272200 is an apocalyptic number.

5272200 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 5272200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9248850).

5272200 is an abundant number, since it is smaller than the sum of its proper divisors (13225500).

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

5272200 is a wasteful number, since it uses less digits than its factorization.

5272200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 5272200 is about 2296.1271741783. The cubic root of 5272200 is about 174.0459648681.

Adding to 5272200 its reverse (22725), we get a palindrome (5294925).

5272200 divided by its reverse (22725) gives a palindrome (232).

The spelling of 5272200 in words is "five million, two hundred seventy-two thousand, two hundred".