725750144 has 128 divisors (see below), whose sum is σ = 1762560000. Its totient is φ = 290746368.

The previous prime is 725750141. The next prime is 725750191. The reversal of 725750144 is 441057527.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725750141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1514897 + ... + 1515375.

It is an arithmetic number, because the mean of its divisors is an integer number (13770000).

Almost surely, 2^725750144 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 725750144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881280000).

725750144 is an abundant number, since it is smaller than the sum of its proper divisors (1036809856).

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

725750144 is a wasteful number, since it uses less digits than its factorization.

725750144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 35.

The square root of 725750144 is about 26939.7502586791. The cubic root of 725750144 is about 898.6606184184.

The spelling of 725750144 in words is "seven hundred twenty-five million, seven hundred fifty thousand, one hundred forty-four".