725180580 has 96 divisors (see below), whose sum is σ = 2261105280. Its totient is φ = 192954240.

The previous prime is 725180563. The next prime is 725180629. The reversal of 725180580 is 85081527.

725180580 is a `hidden beast` number, since 72 + 5 + 1 + 8 + 0 + 580 = 666.

It is a super-3 number, since 3×725180580³ (a number of 28 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 299575 + ... + 301985.

It is an arithmetic number, because the mean of its divisors is an integer number (23553180).

Almost surely, 2^725180580 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 725180580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130552640).

725180580 is an abundant number, since it is smaller than the sum of its proper divisors (1535924700).

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

725180580 is a wasteful number, since it uses less digits than its factorization.

725180580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2986 (or 2978 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The square root of 725180580 is about 26929.1771133096. The cubic root of 725180580 is about 898.4254692206.

The spelling of 725180580 in words is "seven hundred twenty-five million, one hundred eighty thousand, five hundred eighty".