725043200 has 324 divisors, whose sum is σ = 2221410555. Its totient is φ = 233963520.

The previous prime is 725043169. The next prime is 725043289. The reversal of 725043200 is 2340527.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 472105984 + 252937216 = 21728^2 + 15904^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=19040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 42649592 + ... + 42649608.

Almost surely, 2^725043200 is an apocalyptic number.

725043200 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 725043200

725043200 is an abundant number, since it is smaller than the sum of its proper divisors (1496367355).

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

725043200 is a wasteful number, since it uses less digits than its factorization.

725043200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 23.

The square root of 725043200 is about 26926.6262275837. The cubic root of 725043200 is about 898.3687323245.

Adding to 725043200 its reverse (2340527), we get a palindrome (727383727).

The spelling of 725043200 in words is "seven hundred twenty-five million, forty-three thousand, two hundred".