712922112 has 264 divisors, whose sum is σ = 2416704576. Its totient is φ = 198180864.

The previous prime is 712922087. The next prime is 712922131. The reversal of 712922112 is 211229217.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2773888 + ... + 2774144.

It is an arithmetic number, because the mean of its divisors is an integer number (9154184).

Almost surely, 2^712922112 is an apocalyptic number.

712922112 is a gapful number since it is divisible by the number (72) 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 712922112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1208352288).

712922112 is an abundant number, since it is smaller than the sum of its proper divisors (1703782464).

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

712922112 is a wasteful number, since it uses less digits than its factorization.

712922112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 312 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 712922112 is about 26700.6013415429. The cubic root of 712922112 is about 893.3343392479.

It can be divided in two parts, 7129 and 22112, that added together give a square (29241 = 171²).

The spelling of 712922112 in words is "seven hundred twelve million, nine hundred twenty-two thousand, one hundred twelve".