725324320 has 192 divisors, whose sum is σ = 2101510656. Its totient is φ = 231137280.

The previous prime is 725324311. The next prime is 725324323. The reversal of 725324320 is 23423527.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (725324323) 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, 952740 + ... + 953500.

It is an arithmetic number, because the mean of its divisors is an integer number (10945368).

Almost surely, 2^725324320 is an apocalyptic number.

725324320 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 725324320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1050755328).

725324320 is an abundant number, since it is smaller than the sum of its proper divisors (1376186336).

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

725324320 is a wasteful number, since it uses less digits than its factorization.

725324320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 28.

The square root of 725324320 is about 26931.8458335109. The cubic root of 725324320 is about 898.4848250781.

Adding to 725324320 its reverse (23423527), we get a palindrome (748747847).

The spelling of 725324320 in words is "seven hundred twenty-five million, three hundred twenty-four thousand, three hundred twenty".