725823559240 has 192 divisors, whose sum is σ = 1906878153600. Its totient is φ = 247697049600.

The previous prime is 725823559213. The next prime is 725823559243. The reversal of 725823559240 is 42955328527.

725823559240 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 (52).

It is not an unprimeable number, because it can be changed into a prime (725823559243) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5197125 + ... + 5334955.

It is an arithmetic number, because the mean of its divisors is an integer number (9931657050).

Almost surely, 2^725823559240 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 725823559240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (953439076800).

725823559240 is an abundant number, since it is smaller than the sum of its proper divisors (1181054594360).

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

725823559240 is a wasteful number, since it uses less digits than its factorization.

725823559240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137928 (or 137911 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 52.

The spelling of 725823559240 in words is "seven hundred twenty-five billion, eight hundred twenty-three million, five hundred fifty-nine thousand, two hundred forty".