727200 has 108 divisors (see below), whose sum is σ = 2589678. Its totient is φ = 192000.

The previous prime is 727189. The next prime is 727201. The reversal of 727200 is 2727.

It can be written as a sum of positive squares in 3 ways, for example, as 685584 + 41616 = 828^2 + 204^2 .

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 (727201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7150 + ... + 7250.

2⁷²⁷²⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 727200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1294839).

727200 is an abundant number, since it is smaller than the sum of its proper divisors (1862478).

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

727200 is a wasteful number, since it uses less digits than its factorization.

727200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 18.

The square root of 727200 is about 852.7602242131. The cubic root of 727200 is about 89.9258648758.

Adding to 727200 its reverse (2727), we get a palindrome (729927).

It can be divided in two parts, 72 and 7200, that multiplied together give a square (518400 = 720²).

The spelling of 727200 in words is "seven hundred twenty-seven thousand, two hundred", and thus it is an iban number.