725726760 has 128 divisors (see below), whose sum is σ = 2414309760. Its totient is φ = 173030400.

The previous prime is 725726747. The next prime is 725726767. The reversal of 725726760 is 67627527.

It is not an unprimeable number, because it can be changed into a prime (725726767) by changing a digit.

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, 76014 + ... + 85026.

It is an arithmetic number, because the mean of its divisors is an integer number (18861795).

Almost surely, 2^725726760 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 725726760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207154880).

725726760 is an abundant number, since it is smaller than the sum of its proper divisors (1688583000).

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

725726760 is a wasteful number, since it uses less digits than its factorization.

725726760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9099 (or 9095 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 42.

The square root of 725726760 is about 26939.3162496749. The cubic root of 725726760 is about 898.6509665633.

The spelling of 725726760 in words is "seven hundred twenty-five million, seven hundred twenty-six thousand, seven hundred sixty".