712641312 has 72 divisors (see below), whose sum is σ = 2081377116. Its totient is φ = 231123456.

The previous prime is 712641301. The next prime is 712641313. The reversal of 712641312 is 213146217.

712641312 is a `hidden beast` number, since 7 + 1 + 2 + 641 + 3 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 705221136 + 7420176 = 26556^2 + 2724^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (712641313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22783 + ... + 44094.

Almost surely, 2^712641312 is an apocalyptic number.

712641312 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

712641312 is an abundant number, since it is smaller than the sum of its proper divisors (1368735804).

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

712641312 is a wasteful number, since it uses less digits than its factorization.

712641312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66930 (or 66919 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 712641312 is about 26695.3425151280. The cubic root of 712641312 is about 893.2170374092.

Adding to 712641312 its reverse (213146217), we get a palindrome (925787529).

The spelling of 712641312 in words is "seven hundred twelve million, six hundred forty-one thousand, three hundred twelve".