712128925728 has 288 divisors, whose sum is σ = 2256127473600. Its totient is φ = 211245465600.

The previous prime is 712128925727. The next prime is 712128925741. The reversal of 712128925728 is 827529821217.

712128925728 is a `hidden beast` number, since 71 + 21 + 289 + 257 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (712128925727) 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, 45037888 + ... + 45053696.

It is an arithmetic number, because the mean of its divisors is an integer number (7833775950).

Almost surely, 2^712128925728 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 712128925728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1128063736800).

712128925728 is an abundant number, since it is smaller than the sum of its proper divisors (1543998547872).

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

712128925728 is a wasteful number, since it uses less digits than its factorization.

712128925728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16136 (or 16125 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 54.

The spelling of 712128925728 in words is "seven hundred twelve billion, one hundred twenty-eight million, nine hundred twenty-five thousand, seven hundred twenty-eight".