1072431712 has 144 divisors (see below), whose sum is σ = 2432457216. Its totient is φ = 464710400.

The previous prime is 1072431683. The next prime is 1072431719. The reversal of 1072431712 is 2171342701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1072431719) 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, 12920823 + ... + 12920905.

It is an arithmetic number, because the mean of its divisors is an integer number (16892064).

Almost surely, 2^1072431712 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 1072431712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216228608).

1072431712 is an abundant number, since it is smaller than the sum of its proper divisors (1360025504).

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

1072431712 is a wasteful number, since it uses less digits than its factorization.

1072431712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 1072431712 is about 32748.0031757663. The cubic root of 1072431712 is about 1023.5833571116.

It can be divided in two parts, 10724 and 31712, that added together give a square (42436 = 206²).

The spelling of 1072431712 in words is "one billion, seventy-two million, four hundred thirty-one thousand, seven hundred twelve".