725293296 has 180 divisors, whose sum is σ = 2543165352. Its totient is φ = 191261952.

The previous prime is 725293241. The next prime is 725293297. The reversal of 725293296 is 692392527.

It is a happy number.

725293296 is a `hidden beast` number, since 7 + 2 + 529 + 32 + 96 = 666.

725293296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725293297) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 87775 + ... + 95681.

Almost surely, 2^725293296 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 725293296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1271582676).

725293296 is an abundant number, since it is smaller than the sum of its proper divisors (1817872056).

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

725293296 is a wasteful number, since it uses less digits than its factorization.

725293296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7948 (or 7932 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 725293296 is about 26931.2698549474. The cubic root of 725293296 is about 898.4720147210.

The spelling of 725293296 in words is "seven hundred twenty-five million, two hundred ninety-three thousand, two hundred ninety-six".