725040000 has 480 divisors, whose sum is σ = 2796136200. Its totient is φ = 179712000.

The previous prime is 725039993. The next prime is 725040007. The reversal of 725040000 is 40527.

It is a happy number.

725040000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (725039993) and next prime (725040007).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725040007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 13679974 + ... + 13680026.

Almost surely, 2^725040000 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 725040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1398068100).

725040000 is an abundant number, since it is smaller than the sum of its proper divisors (2071096200).

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

725040000 is a wasteful number, since it uses less digits than its factorization.

725040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 725040000 is about 26926.5668067803. The cubic root of 725040000 is about 898.3674106634.

Adding to 725040000 its reverse (40527), we get a palindrome (725080527).

The spelling of 725040000 in words is "seven hundred twenty-five million, forty thousand".