725429760 has 320 divisors, whose sum is σ = 2620975104. Its totient is φ = 169574400.

The previous prime is 725429753. The next prime is 725429767. The reversal of 725429760 is 67924527.

It is an interprime number because it is at equal distance from previous prime (725429753) and next prime (725429767).

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725429767) 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, 2618742 + ... + 2619018.

Almost surely, 2^725429760 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 725429760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310487552).

725429760 is an abundant number, since it is smaller than the sum of its proper divisors (1895545344).

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

725429760 is a wasteful number, since it uses less digits than its factorization.

725429760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The square root of 725429760 is about 26933.8032962298. The cubic root of 725429760 is about 898.5283603846.

The spelling of 725429760 in words is "seven hundred twenty-five million, four hundred twenty-nine thousand, seven hundred sixty".