712097568 has 240 divisors, whose sum is σ = 2578403520. Its totient is φ = 187743744.

The previous prime is 712097567. The next prime is 712097579. The reversal of 712097568 is 865790217.

712097568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (712097563) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 234363 + ... + 237381.

It is an arithmetic number, because the mean of its divisors is an integer number (10743348).

Almost surely, 2^712097568 is an apocalyptic number.

712097568 is a gapful number since it is divisible by the number (78) 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 712097568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1289201760).

712097568 is an abundant number, since it is smaller than the sum of its proper divisors (1866305952).

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

712097568 is a wasteful number, since it uses less digits than its factorization.

712097568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3061 (or 3044 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 712097568 is about 26685.1563233195. The cubic root of 712097568 is about 892.9898052923.

The spelling of 712097568 in words is "seven hundred twelve million, ninety-seven thousand, five hundred sixty-eight".