725641800 has 192 divisors, whose sum is σ = 2501506560. Its totient is φ = 172800000.

The previous prime is 725641747. The next prime is 725641849. The reversal of 725641800 is 8146527.

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 47 ways as a sum of consecutive naturals, for example, 240300 + ... + 243300.

It is an arithmetic number, because the mean of its divisors is an integer number (13028680).

Almost surely, 2^725641800 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 725641800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250753280).

725641800 is an abundant number, since it is smaller than the sum of its proper divisors (1775864760).

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

725641800 is a wasteful number, since it uses less digits than its factorization.

725641800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3064 (or 3055 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 725641800 is about 26937.7393260830. The cubic root of 725641800 is about 898.6158971819.

The spelling of 725641800 in words is "seven hundred twenty-five million, six hundred forty-one thousand, eight hundred".