712313000 has 96 divisors (see below), whose sum is σ = 1939078440. Its totient is φ = 244204800.

The previous prime is 712312987. The next prime is 712313003. The reversal of 712313000 is 313217.

It can be written as a sum of positive squares in 4 ways, for example, as 126382564 + 585930436 = 11242^2 + 24206^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 712313000.

It is not an unprimeable number, because it can be changed into a prime (712313003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41732 + ... + 56268.

Almost surely, 2^712313000 is an apocalyptic number.

712313000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 712313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969539220).

712313000 is an abundant number, since it is smaller than the sum of its proper divisors (1226765440).

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

712313000 is a wasteful number, since it uses less digits than its factorization.

712313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14572 (or 14551 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 17.

The square root of 712313000 is about 26689.1925692779. The cubic root of 712313000 is about 893.0798487505.

Adding to 712313000 its reverse (313217), we get a palindrome (712626217).

The spelling of 712313000 in words is "seven hundred twelve million, three hundred thirteen thousand".