725440320 has 448 divisors, whose sum is σ = 2962656000. Its totient is φ = 165150720.

The previous prime is 725440319. The next prime is 725440327. The reversal of 725440320 is 23044527.

725440320 is a `hidden beast` number, since 7 + 254 + 403 + 2 + 0 = 666.

725440320 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725440327) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1615456 + ... + 1615904.

Almost surely, 2^725440320 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 725440320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481328000).

725440320 is an abundant number, since it is smaller than the sum of its proper divisors (2237215680).

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

725440320 is a wasteful number, since it uses less digits than its factorization.

725440320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 725440320 is about 26933.9993316997. Note that the first 3 decimals coincide. The cubic root of 725440320 is about 898.5327202891.

Adding to 725440320 its reverse (23044527), we get a palindrome (748484847).

It can be divided in two parts, 7254 and 40320, that added together give a palindrome (47574).

The spelling of 725440320 in words is "seven hundred twenty-five million, four hundred forty thousand, three hundred twenty".