725968173672720 has 240 divisors, whose sum is σ = 2669570706628800. Its totient is φ = 175338037601280.

The previous prime is 725968173672673. The next prime is 725968173672737. The reversal of 725968173672720 is 27276371869527.

725968173672720 is a `hidden beast` number, since 7 + 2 + 596 + 8 + 1 + 7 + 3 + 6 + 7 + 2 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 168246190 + ... + 172507149.

It is an arithmetic number, because the mean of its divisors is an integer number (11123211277620).

Almost surely, 2^{725968173672720} is an apocalyptic number.

It is an amenable number.

725968173672720 is an abundant number, since it is smaller than the sum of its proper divisors (1943602532956080).

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

725968173672720 is a wasteful number, since it uses less digits than its factorization.

725968173672720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340753638 (or 340753629 counting only the distinct ones).

The product of its (nonzero) digits is 746807040, while the sum is 72.

The spelling of 725968173672720 in words is "seven hundred twenty-five trillion, nine hundred sixty-eight billion, one hundred seventy-three million, six hundred seventy-two thousand, seven hundred twenty".