725711980 has 96 divisors (see below), whose sum is σ = 1869872256. Its totient is φ = 230916096.

The previous prime is 725711971. The next prime is 725712017. The reversal of 725711980 is 89117527.

725711980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 171652 + ... + 175828.

It is an arithmetic number, because the mean of its divisors is an integer number (19477836).

Almost surely, 2^725711980 is an apocalyptic number.

725711980 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 725711980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (934936128).

725711980 is an abundant number, since it is smaller than the sum of its proper divisors (1144160276).

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

725711980 is a wasteful number, since it uses less digits than its factorization.

725711980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4283 (or 4281 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 40.

The square root of 725711980 is about 26939.0419280271. The cubic root of 725711980 is about 898.6448659424.

The spelling of 725711980 in words is "seven hundred twenty-five million, seven hundred eleven thousand, nine hundred eighty".