725981184 has 192 divisors, whose sum is σ = 2266992000. Its totient is φ = 228925440.

The previous prime is 725981153. The next prime is 725981189. The reversal of 725981184 is 481189527.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725981189) 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, 1050279 + ... + 1050969.

It is an arithmetic number, because the mean of its divisors is an integer number (11807250).

Almost surely, 2^725981184 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 725981184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1133496000).

725981184 is an abundant number, since it is smaller than the sum of its proper divisors (1541010816).

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

725981184 is a wasteful number, since it uses less digits than its factorization.

725981184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 715 counting only the distinct ones).

The product of its digits is 161280, while the sum is 45.

The square root of 725981184 is about 26944.0380047238. The cubic root of 725981184 is about 898.7559701141.

The spelling of 725981184 in words is "seven hundred twenty-five million, nine hundred eighty-one thousand, one hundred eighty-four".