712137216 has 160 divisors (see below), whose sum is σ = 2192002560. Its totient is φ = 201240576.

The previous prime is 712137211. The next prime is 712137263. The reversal of 712137216 is 612731217.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (712137211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1150155 + ... + 1150773.

It is an arithmetic number, because the mean of its divisors is an integer number (13700016).

Almost surely, 2^712137216 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 712137216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1096001280).

712137216 is an abundant number, since it is smaller than the sum of its proper divisors (1479865344).

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

712137216 is a wasteful number, since it uses less digits than its factorization.

712137216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 738 counting only the distinct ones).

The product of its digits is 3528, while the sum is 30.

The square root of 712137216 is about 26685.8991978910. The cubic root of 712137216 is about 893.0063782098.

The spelling of 712137216 in words is "seven hundred twelve million, one hundred thirty-seven thousand, two hundred sixteen".