724725144 has 336 divisors, whose sum is σ = 2442199200. Its totient is φ = 200154240.

The previous prime is 724725137. The next prime is 724725203. The reversal of 724725144 is 441527427.

724725144 is a `hidden beast` number, since 72 + 4 + 72 + 514 + 4 = 666.

724725144 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 724725099 and 724725108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 9173697 + ... + 9173775.

It is an arithmetic number, because the mean of its divisors is an integer number (7268450).

Almost surely, 2^724725144 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 724725144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1221099600).

724725144 is an abundant number, since it is smaller than the sum of its proper divisors (1717474056).

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

724725144 is a wasteful number, since it uses less digits than its factorization.

724725144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 108 counting only the distinct ones).

The product of its digits is 62720, while the sum is 36.

The square root of 724725144 is about 26920.7196040522. The cubic root of 724725144 is about 898.2373501041.

The spelling of 724725144 in words is "seven hundred twenty-four million, seven hundred twenty-five thousand, one hundred forty-four".