712711296 has 144 divisors (see below), whose sum is σ = 2254737030. Its totient is φ = 215930880.

The previous prime is 712711291. The next prime is 712711309. The reversal of 712711296 is 692117217.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 710968896 + 1742400 = 26664^2 + 1320^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 712711296.

It is not an unprimeable number, because it can be changed into a prime (712711291) 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 17 ways as a sum of consecutive naturals, for example, 136836 + ... + 141948.

Almost surely, 2^712711296 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 712711296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1127368515).

712711296 is an abundant number, since it is smaller than the sum of its proper divisors (1542025734).

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

712711296 is a wasteful number, since it uses less digits than its factorization.

712711296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5155 (or 5129 counting only the distinct ones).

The product of its digits is 10584, while the sum is 36.

The square root of 712711296 is about 26696.6532733974. The cubic root of 712711296 is about 893.2462755191.

The spelling of 712711296 in words is "seven hundred twelve million, seven hundred eleven thousand, two hundred ninety-six".