725566340 has 48 divisors (see below), whose sum is σ = 1565754624. Its totient is φ = 282259200.

The previous prime is 725566327. The next prime is 725566351. The reversal of 725566340 is 43665527.

725566340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 725566294 and 725566303.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 299735 + ... + 302145.

It is an arithmetic number, because the mean of its divisors is an integer number (32619888).

Almost surely, 2^725566340 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 725566340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782877312).

725566340 is an abundant number, since it is smaller than the sum of its proper divisors (840188284).

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

725566340 is a wasteful number, since it uses less digits than its factorization.

725566340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2828 (or 2826 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 38.

The square root of 725566340 is about 26936.3386524598. The cubic root of 725566340 is about 898.5847468695.

The spelling of 725566340 in words is "seven hundred twenty-five million, five hundred sixty-six thousand, three hundred forty".