712164000 has 192 divisors, whose sum is σ = 2470995072. Its totient is φ = 178688000.

The previous prime is 712163993. The next prime is 712164001. The reversal of 712164000 is 461217.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (712164001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 202255 + ... + 205745.

It is an arithmetic number, because the mean of its divisors is an integer number (12869766).

Almost surely, 2^712164000 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 712164000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1235497536).

712164000 is an abundant number, since it is smaller than the sum of its proper divisors (1758831072).

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

712164000 is a wasteful number, since it uses less digits than its factorization.

712164000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3536 (or 3518 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 712164000 is about 26686.4010312369. The cubic root of 712164000 is about 893.0175736098.

The spelling of 712164000 in words is "seven hundred twelve million, one hundred sixty-four thousand".