712224000 has 216 divisors, whose sum is σ = 2563825992. Its totient is φ = 189849600.

The previous prime is 712223999. The next prime is 712224031. The reversal of 712224000 is 422217.

It can be written as a sum of positive squares in 4 ways, for example, as 5089536 + 707134464 = 2256^2 + 26592^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 286764 + ... + 289236.

Almost surely, 2^712224000 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 712224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1281912996).

712224000 is an abundant number, since it is smaller than the sum of its proper divisors (1851601992).

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

712224000 is a wasteful number, since it uses less digits than its factorization.

712224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2510 (or 2483 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 712224000 is about 26687.5251756322. The cubic root of 712224000 is about 893.0426518922.

Adding to 712224000 its reverse (422217), we get a palindrome (712646217).

The spelling of 712224000 in words is "seven hundred twelve million, two hundred twenty-four thousand".