712727138000 has 80 divisors (see below), whose sum is σ = 1778967091200. Its totient is φ = 275894352000.

The previous prime is 712727137999. The next prime is 712727138017. The reversal of 712727138000 is 831727217.

It is a happy number.

712727138000 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 (80).

It is a super-3 number, since 3×712727138000³ (a number of 37 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 15 ways as a sum of consecutive naturals, for example, 5685800 + ... + 5809799.

It is an arithmetic number, because the mean of its divisors is an integer number (22237088640).

Almost surely, 2^712727138000 is an apocalyptic number.

It is an amenable number.

712727138000 is an abundant number, since it is smaller than the sum of its proper divisors (1066239953200).

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

712727138000 is a wasteful number, since it uses less digits than its factorization.

712727138000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11495653 (or 11495637 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 38.

The spelling of 712727138000 in words is "seven hundred twelve billion, seven hundred twenty-seven million, one hundred thirty-eight thousand".