723200 has 54 divisors (see below), whose sum is σ = 1805874. Its totient is φ = 286720.

The previous prime is 723193. The next prime is 723209. The reversal of 723200 is 2327.

It can be written as a sum of positive squares in 3 ways, for example, as 4096 + 719104 = 64^2 + 848^2 .

It is not an unprimeable number, because it can be changed into a prime (723209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6344 + ... + 6456.

2⁷²³²⁰⁰ 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 723200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902937).

723200 is an abundant number, since it is smaller than the sum of its proper divisors (1082674).

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

723200 is a wasteful number, since it uses less digits than its factorization.

723200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 14.

The square root of 723200 is about 850.4116650188. The cubic root of 723200 is about 89.7606810637.

Adding to 723200 its reverse (2327), we get a palindrome (725527).

It can be divided in two parts, 72 and 3200, that multiplied together give a square (230400 = 480²).

The spelling of 723200 in words is "seven hundred twenty-three thousand, two hundred", and thus it is an iban number.