725725440 has 576 divisors, whose sum is σ = 2966906880. Its totient is φ = 166256640.

The previous prime is 725725433. The next prime is 725725447. The reversal of 725725440 is 44527527.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (725725433) and next prime (725725447).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 725725395 and 725725404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725725447) 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, 8743639 + ... + 8743721.

It is an arithmetic number, because the mean of its divisors is an integer number (5150880).

Almost surely, 2^725725440 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 725725440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483453440).

725725440 is an abundant number, since it is smaller than the sum of its proper divisors (2241181440).

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

725725440 is a wasteful number, since it uses less digits than its factorization.

725725440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The square root of 725725440 is about 26939.2917501556. The cubic root of 725725440 is about 898.6504217210.

The spelling of 725725440 in words is "seven hundred twenty-five million, seven hundred twenty-five thousand, four hundred forty".