725461344 has 144 divisors (see below), whose sum is σ = 2184764400. Its totient is φ = 227708928.

The previous prime is 725461313. The next prime is 725461379. The reversal of 725461344 is 443164527.

725461344 is a `hidden beast` number, since 7 + 254 + 61 + 344 = 666.

725461344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 725461299 and 725461308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1274692 + ... + 1275260.

It is an arithmetic number, because the mean of its divisors is an integer number (15171975).

Almost surely, 2^725461344 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 725461344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1092382200).

725461344 is an abundant number, since it is smaller than the sum of its proper divisors (1459303056).

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

725461344 is a wasteful number, since it uses less digits than its factorization.

725461344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 826 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 725461344 is about 26934.3896162508. The cubic root of 725461344 is about 898.5414003367.

The spelling of 725461344 in words is "seven hundred twenty-five million, four hundred sixty-one thousand, three hundred forty-four".