712136052 has 144 divisors (see below), whose sum is σ = 1978848144. Its totient is φ = 215040000.

The previous prime is 712136041. The next prime is 712136053. The reversal of 712136052 is 250631217.

It is a happy number.

712136052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 43086096 + 669049956 = 6564^2 + 25866^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (712136053) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2534152 + ... + 2534432.

It is an arithmetic number, because the mean of its divisors is an integer number (13742001).

Almost surely, 2^712136052 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 712136052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989424072).

712136052 is an abundant number, since it is smaller than the sum of its proper divisors (1266712092).

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

712136052 is a wasteful number, since it uses less digits than its factorization.

712136052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 712136052 is about 26685.8773886114. The cubic root of 712136052 is about 893.0058916650.

Adding to 712136052 its reverse (250631217), we get a palindrome (962767269).

The spelling of 712136052 in words is "seven hundred twelve million, one hundred thirty-six thousand, fifty-two".