725483520 has 288 divisors, whose sum is σ = 2642401440. Its totient is φ = 188743680.

The previous prime is 725483519. The next prime is 725483527. The reversal of 725483520 is 25384527.

725483520 is a `hidden beast` number, since 7 + 2 + 54 + 83 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725483527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17694700 + ... + 17694740.

It is an arithmetic number, because the mean of its divisors is an integer number (9175005).

Almost surely, 2^725483520 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 725483520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321200720).

725483520 is an abundant number, since it is smaller than the sum of its proper divisors (1916917920).

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

725483520 is an frugal number, since it uses more digits than its factorization.

725483520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 725483520 is about 26934.8012801283. The cubic root of 725483520 is about 898.5505558216.

The spelling of 725483520 in words is "seven hundred twenty-five million, four hundred eighty-three thousand, five hundred twenty".