725440716 has 288 divisors, whose sum is σ = 2527289856. Its totient is φ = 169344000.

The previous prime is 725440697. The next prime is 725440717. The reversal of 725440716 is 617044527.

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

It is not an unprimeable number, because it can be changed into a prime (725440717) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1477231 + ... + 1477721.

It is an arithmetic number, because the mean of its divisors is an integer number (8775312).

Almost surely, 2^725440716 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 725440716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1263644928).

725440716 is an abundant number, since it is smaller than the sum of its proper divisors (1801849140).

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

725440716 is a wasteful number, since it uses less digits than its factorization.

725440716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 725440716 is about 26934.0066830021. The cubic root of 725440716 is about 898.5328837847.

The spelling of 725440716 in words is "seven hundred twenty-five million, four hundred forty thousand, seven hundred sixteen".