725579200 has 84 divisors (see below), whose sum is σ = 1791177520. Its totient is φ = 289290240.

The previous prime is 725579189. The next prime is 725579209. The reversal of 725579200 is 2975527.

It is a self number, because there is not a number n which added to its sum of digits gives 725579200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725579209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 701884 + ... + 702916.

Almost surely, 2^725579200 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 725579200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895588760).

725579200 is an abundant number, since it is smaller than the sum of its proper divisors (1065598320).

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

725579200 is a wasteful number, since it uses less digits than its factorization.

725579200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1494 (or 1479 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 37.

The square root of 725579200 is about 26936.5773623896. The cubic root of 725579200 is about 898.5900557025.

The spelling of 725579200 in words is "seven hundred twenty-five million, five hundred seventy-nine thousand, two hundred".