712233000 has 224 divisors, whose sum is σ = 2501352360. Its totient is φ = 189734400.

The previous prime is 712232999. The next prime is 712233001. The reversal of 712233000 is 332217.

It is an interprime number because it is at equal distance from previous prime (712232999) and next prime (712233001).

It can be written as a sum of positive squares in 4 ways, for example, as 392753124 + 319479876 = 19818^2 + 17874^2 .

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

It is not an unprimeable number, because it can be changed into a prime (712233001) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 728512 + ... + 729488.

Almost surely, 2^712233000 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 712233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250676180).

712233000 is an abundant number, since it is smaller than the sum of its proper divisors (1789119360).

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

712233000 is an equidigital number, since it uses as much as digits as its factorization.

712233000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 712233000 is about 26687.6937932074. The cubic root of 712233000 is about 893.0464135131.

Adding to 712233000 its reverse (332217), we get a palindrome (712565217).

The spelling of 712233000 in words is "seven hundred twelve million, two hundred thirty-three thousand".