712271252 has 72 divisors (see below), whose sum is σ = 1632976128. Its totient is φ = 268531200.

The previous prime is 712271239. The next prime is 712271257. The reversal of 712271252 is 252172217.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (712271257) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61508 + ... + 72164.

It is an arithmetic number, because the mean of its divisors is an integer number (22680224).

Almost surely, 2^712271252 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 712271252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816488064).

712271252 is an abundant number, since it is smaller than the sum of its proper divisors (920704876).

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

712271252 is a wasteful number, since it uses less digits than its factorization.

712271252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10717 (or 10708 counting only the distinct ones).

The product of its digits is 3920, while the sum is 29.

The square root of 712271252 is about 26688.4104434865. The cubic root of 712271252 is about 893.0624008842.

The spelling of 712271252 in words is "seven hundred twelve million, two hundred seventy-one thousand, two hundred fifty-two".