725066688 has 112 divisors (see below), whose sum is σ = 2027058176. Its totient is φ = 228372480.

The previous prime is 725066687. The next prime is 725066707. The reversal of 725066688 is 886660527.

725066688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725066687) 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, 254520 + ... + 257352.

Almost surely, 2^725066688 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 725066688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013529088).

725066688 is an abundant number, since it is smaller than the sum of its proper divisors (1301991488).

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

725066688 is a wasteful number, since it uses less digits than its factorization.

725066688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2922 (or 2912 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The square root of 725066688 is about 26927.0623722678. The cubic root of 725066688 is about 898.3784331979.

The spelling of 725066688 in words is "seven hundred twenty-five million, sixty-six thousand, six hundred eighty-eight".