725251968 has 192 divisors, whose sum is σ = 2474209920. Its totient is φ = 207152640.

The previous prime is 725251927. The next prime is 725251979. The reversal of 725251968 is 869152527.

725251968 is a `hidden beast` number, since 72 + 5 + 2 + 519 + 68 = 666.

725251968 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 (192).

It is a super-3 number, since 3×725251968³ (a number of 28 digits) contains 333 as substring.

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, 216063 + ... + 219393.

It is an arithmetic number, because the mean of its divisors is an integer number (12886510).

Almost surely, 2^725251968 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 725251968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237104960).

725251968 is an abundant number, since it is smaller than the sum of its proper divisors (1748957952).

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

725251968 is an equidigital number, since it uses as much as digits as its factorization.

725251968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3367 (or 3343 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 725251968 is about 26930.5025575090. The cubic root of 725251968 is about 898.4549490930.

The spelling of 725251968 in words is "seven hundred twenty-five million, two hundred fifty-one thousand, nine hundred sixty-eight".