725554630200 has 768 divisors, whose sum is σ = 2500986355200. Its totient is φ = 173336371200.

The previous prime is 725554630183. The next prime is 725554630223. The reversal of 725554630200 is 2036455527.

It is a happy number.

725554630200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4193957314 + ... + 4193957486.

It is an arithmetic number, because the mean of its divisors is an integer number (3256492650).

Almost surely, 2^725554630200 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 725554630200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250493177600).

725554630200 is an abundant number, since it is smaller than the sum of its proper divisors (1775431725000).

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

725554630200 is a wasteful number, since it uses less digits than its factorization.

725554630200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 39.

The spelling of 725554630200 in words is "seven hundred twenty-five billion, five hundred fifty-four million, six hundred thirty thousand, two hundred".