725208720 has 160 divisors (see below), whose sum is σ = 2378419200. Its totient is φ = 182287872.

The previous prime is 725208691. The next prime is 725208727. The reversal of 725208720 is 27802527.

725208720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (725208727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1636819 + ... + 1637261.

It is an arithmetic number, because the mean of its divisors is an integer number (14865120).

Almost surely, 2^725208720 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 725208720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189209600).

725208720 is an abundant number, since it is smaller than the sum of its proper divisors (1653210480).

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

725208720 is a wasteful number, since it uses less digits than its factorization.

725208720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 33.

The square root of 725208720 is about 26929.6995898580. The cubic root of 725208720 is about 898.4370899426.

The spelling of 725208720 in words is "seven hundred twenty-five million, two hundred eight thousand, seven hundred twenty".