725058880 has 168 divisors, whose sum is σ = 2163534408. Its totient is φ = 229404672.

The previous prime is 725058833. The next prime is 725058941. The reversal of 725058880 is 88850527.

It can be written as a sum of positive squares in 4 ways, for example, as 5531904 + 719526976 = 2352^2 + 26824^2 .

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 202062 + ... + 205618.

It is an arithmetic number, because the mean of its divisors is an integer number (12878181).

Almost surely, 2^725058880 is an apocalyptic number.

725058880 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 725058880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1081767204).

725058880 is an abundant number, since it is smaller than the sum of its proper divisors (1438475528).

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

725058880 is a wasteful number, since it uses less digits than its factorization.

725058880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3601 (or 3584 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 43.

The square root of 725058880 is about 26926.9173876253. The cubic root of 725058880 is about 898.3752084076.

The spelling of 725058880 in words is "seven hundred twenty-five million, fifty-eight thousand, eight hundred eighty".