725662820 has 48 divisors (see below), whose sum is σ = 1620716160. Its totient is φ = 272139264.

The previous prime is 725662793. The next prime is 725662829. The reversal of 725662820 is 28266527.

It is a super-3 number, since 3×725662820³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (725662829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27017 + ... + 46703.

It is an arithmetic number, because the mean of its divisors is an integer number (33764920).

Almost surely, 2^725662820 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 725662820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810358080).

725662820 is an abundant number, since it is smaller than the sum of its proper divisors (895053340).

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

725662820 is a wasteful number, since it uses less digits than its factorization.

725662820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19812 (or 19810 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The square root of 725662820 is about 26938.1294822042. The cubic root of 725662820 is about 898.6245739715.

The spelling of 725662820 in words is "seven hundred twenty-five million, six hundred sixty-two thousand, eight hundred twenty".