725530580 has 54 divisors (see below), whose sum is σ = 1613113614. Its totient is φ = 274070592.

The previous prime is 725530577. The next prime is 725530643. The reversal of 725530580 is 85035527.

It can be written as a sum of positive squares in 3 ways, for example, as 36048016 + 689482564 = 6004^2 + 26258^2 .

It is a super-3 number, since 3×725530580³ (a number of 28 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 725530580.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2288582 + ... + 2288898.

Almost surely, 2^725530580 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 725530580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806556807).

725530580 is an abundant number, since it is smaller than the sum of its proper divisors (887583034).

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

725530580 is a wasteful number, since it uses less digits than its factorization.

725530580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 35.

The square root of 725530580 is about 26935.6748569625. The cubic root of 725530580 is about 898.5699841861.

The spelling of 725530580 in words is "seven hundred twenty-five million, five hundred thirty thousand, five hundred eighty".