725570208 has 216 divisors, whose sum is σ = 2321452224. Its totient is φ = 214705920.

The previous prime is 725570189. The next prime is 725570231. The reversal of 725570208 is 802075527.

725570208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1637635 + ... + 1638077.

It is an arithmetic number, because the mean of its divisors is an integer number (10747464).

Almost surely, 2^725570208 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 725570208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160726112).

725570208 is an abundant number, since it is smaller than the sum of its proper divisors (1595882016).

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

725570208 is a wasteful number, since it uses less digits than its factorization.

725570208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 725570208 is about 26936.4104512832. The cubic root of 725570208 is about 898.5863436541.

The spelling of 725570208 in words is "seven hundred twenty-five million, five hundred seventy thousand, two hundred eight".