725200 has 90 divisors (see below), whose sum is σ = 2081526. Its totient is φ = 241920.

The previous prime is 725189. The next prime is 725201. The reversal of 725200 is 2527.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 153664 + 571536 = 392^2 + 756^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725201) by changing a digit.

725200 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 19582 + ... + 19618.

2⁷²⁵²⁰⁰ is an apocalyptic number.

725200 is a gapful number since it is divisible by the number (70) 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 725200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1040763).

725200 is an abundant number, since it is smaller than the sum of its proper divisors (1356326).

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

725200 is a wasteful number, since it uses less digits than its factorization.

725200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 16.

The square root of 725200 is about 851.5867542418. The cubic root of 725200 is about 89.8433488955.

Adding to 725200 its reverse (2527), we get a palindrome (727727).

It can be divided in two parts, 7 and 25200, that multiplied together give a square (176400 = 420²).

The spelling of 725200 in words is "seven hundred twenty-five thousand, two hundred".