725261200 has 60 divisors (see below), whose sum is σ = 1747470868. Its totient is φ = 289267200.

The previous prime is 725261129. The next prime is 725261209. The reversal of 725261200 is 2162527.

725261200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 11943936 + 713317264 = 3456^2 + 26708^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (725261209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 146770 + ... + 151630.

Almost surely, 2^725261200 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 725261200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873735434).

725261200 is an abundant number, since it is smaller than the sum of its proper divisors (1022209668).

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

725261200 is a wasteful number, since it uses less digits than its factorization.

725261200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5252 (or 5241 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 725261200 is about 26930.6739611173. The cubic root of 725261200 is about 898.4587613318.

The spelling of 725261200 in words is "seven hundred twenty-five million, two hundred sixty-one thousand, two hundred".