712633152 has 448 divisors, whose sum is σ = 2574950400. Its totient is φ = 168376320.

The previous prime is 712633151. The next prime is 712633157. The reversal of 712633152 is 251336217.

712633152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (712633151) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12078499 + ... + 12078557.

Almost surely, 2^712633152 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 712633152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287475200).

712633152 is an abundant number, since it is smaller than the sum of its proper divisors (1862317248).

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

712633152 is a wasteful number, since it uses less digits than its factorization.

712633152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 144 counting only the distinct ones).

The product of its digits is 7560, while the sum is 30.

The square root of 712633152 is about 26695.1896790414. The cubic root of 712633152 is about 893.2136281772.

Adding to 712633152 its reverse (251336217), we get a palindrome (963969369).

The spelling of 712633152 in words is "seven hundred twelve million, six hundred thirty-three thousand, one hundred fifty-two".