725218080 has 192 divisors, whose sum is σ = 2410248960. Its totient is φ = 183013376.

The previous prime is 725218031. The next prime is 725218099. The reversal of 725218080 is 80812527.

725218080 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, 737269 + ... + 738251.

It is an arithmetic number, because the mean of its divisors is an integer number (12553380).

Almost surely, 2^725218080 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 725218080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205124480).

725218080 is an abundant number, since it is smaller than the sum of its proper divisors (1685030880).

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

725218080 is a wasteful number, since it uses less digits than its factorization.

725218080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 725218080 is about 26929.8733751201. The cubic root of 725218080 is about 898.4409551907.

It can be divided in two parts, 72521 and 8080, that added together give a triangular number (80601 = T₄₀₁).

The spelling of 725218080 in words is "seven hundred twenty-five million, two hundred eighteen thousand, eighty".