712375200 has 216 divisors, whose sum is σ = 2531587968. Its totient is φ = 188490240.

The previous prime is 712375187. The next prime is 712375229. The reversal of 712375200 is 2573217.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1173297 + ... + 1173903.

Almost surely, 2^712375200 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 712375200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265793984).

712375200 is an abundant number, since it is smaller than the sum of its proper divisors (1819212768).

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

712375200 is a wasteful number, since it uses less digits than its factorization.

712375200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 712375200 is about 26690.3578095162. The cubic root of 712375200 is about 893.1058429177.

The spelling of 712375200 in words is "seven hundred twelve million, three hundred seventy-five thousand, two hundred".