725808006 has 128 divisors (see below), whose sum is σ = 2024524800. Its totient is φ = 187246080.

The previous prime is 725807983. The next prime is 725808011. The reversal of 725808006 is 600808527.

725808006 is a `hidden beast` number, since 72 + 580 + 8 + 0 + 0 + 6 = 666.

725808006 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 63 ways as a sum of consecutive naturals, for example, 718830 + ... + 719838.

It is an arithmetic number, because the mean of its divisors is an integer number (15816600).

Almost surely, 2^725808006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 725808006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1012262400).

725808006 is an abundant number, since it is smaller than the sum of its proper divisors (1298716794).

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

725808006 is a wasteful number, since it uses less digits than its factorization.

725808006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 725808006 is about 26940.8241522044. The cubic root of 725808006 is about 898.6845003376.

The spelling of 725808006 in words is "seven hundred twenty-five million, eight hundred eight thousand, six".