725839912512 has 336 divisors, whose sum is σ = 2469436150272. Its totient is φ = 200936816640.

The previous prime is 725839912507. The next prime is 725839912519. The reversal of 725839912512 is 215219938527.

725839912512 is a `hidden beast` number, since 7 + 2 + 5 + 8 + 39 + 91 + 2 + 512 = 666.

It is not an unprimeable number, because it can be changed into a prime (725839912519) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7944273 + ... + 8035119.

It is an arithmetic number, because the mean of its divisors is an integer number (7349512352).

Almost surely, 2^725839912512 is an apocalyptic number.

725839912512 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 725839912512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234718075136).

725839912512 is an abundant number, since it is smaller than the sum of its proper divisors (1743596237760).

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

725839912512 is a wasteful number, since it uses less digits than its factorization.

725839912512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90986 (or 90973 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 54.

The spelling of 725839912512 in words is "seven hundred twenty-five billion, eight hundred thirty-nine million, nine hundred twelve thousand, five hundred twelve".