1065319872 has 112 divisors (see below), whose sum is σ = 2930286240. Its totient is φ = 341168128.

The previous prime is 1065319861. The next prime is 1065319877. The reversal of 1065319872 is 2789135601.

It is a super-2 number, since 2×1065319872² = 2269812859356192768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1065319877) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1631098 + ... + 1631750.

It is an arithmetic number, because the mean of its divisors is an integer number (26163270).

Almost surely, 2^1065319872 is an apocalyptic number.

1065319872 is a gapful number since it is divisible by the number (12) 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 1065319872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465143120).

1065319872 is an abundant number, since it is smaller than the sum of its proper divisors (1864966368).

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

1065319872 is a wasteful number, since it uses less digits than its factorization.

1065319872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 1065319872 is about 32639.2382264047. The cubic root of 1065319872 is about 1021.3157031378.

It can be divided in two parts, 106531 and 9872, that added together give a triangular number (116403 = T₄₈₂).

The spelling of 1065319872 in words is "one billion, sixty-five million, three hundred nineteen thousand, eight hundred seventy-two".