712209312 has 72 divisors (see below), whose sum is σ = 2040030720. Its totient is φ = 235681920.

The previous prime is 712209241. The next prime is 712209353. The reversal of 712209312 is 213902217.

712209312 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 (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31137 + ... + 48927.

It is an arithmetic number, because the mean of its divisors is an integer number (28333760).

Almost surely, 2^712209312 is an apocalyptic number.

712209312 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

712209312 is the 13344-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 712209312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020015360).

712209312 is an abundant number, since it is smaller than the sum of its proper divisors (1327821408).

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

712209312 is a wasteful number, since it uses less digits than its factorization.

712209312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17946 (or 17935 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 712209312 is about 26687.2499894613. The cubic root of 712209312 is about 893.0365128589.

The spelling of 712209312 in words is "seven hundred twelve million, two hundred nine thousand, three hundred twelve".