725788094613912 has 256 divisors, whose sum is σ = 2234659104000000. Its totient is φ = 216419643417600.

The previous prime is 725788094613887. The next prime is 725788094613913. The reversal of 725788094613912 is 219316490887527.

725788094613912 is a `hidden beast` number, since 7 + 2 + 5 + 78 + 8 + 0 + 9 + 461 + 3 + 91 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725788094613913) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69901714 + ... + 79610462.

It is an arithmetic number, because the mean of its divisors is an integer number (8729137125000).

It is a 1-persistent number, because it is pandigital, but 2⋅725788094613912 = 1451576189227824 is not.

Almost surely, 2^{725788094613912} is an apocalyptic number.

725788094613912 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 725788094613912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1117329552000000).

725788094613912 is an abundant number, since it is smaller than the sum of its proper divisors (1508871009386088).

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

725788094613912 is a wasteful number, since it uses less digits than its factorization.

725788094613912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9709279 (or 9709269 counting only the distinct ones).

The product of its (nonzero) digits is 365783040, while the sum is 72.

The spelling of 725788094613912 in words is "seven hundred twenty-five trillion, seven hundred eighty-eight billion, ninety-four million, six hundred thirteen thousand, nine hundred twelve".