1032765672 has 64 divisors (see below), whose sum is σ = 2721499200. Its totient is φ = 325693440.

The previous prime is 1032765667. The next prime is 1032765683. The reversal of 1032765672 is 2765672301.

1032765672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1032765672³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 1032765672.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 554022 + ... + 555882.

It is an arithmetic number, because the mean of its divisors is an integer number (42523425).

Almost surely, 2^1032765672 is an apocalyptic number.

1032765672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1032765672 is an abundant number, since it is smaller than the sum of its proper divisors (1688733528).

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

1032765672 is a wasteful number, since it uses less digits than its factorization.

1032765672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3106 (or 3102 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 39.

The square root of 1032765672 is about 32136.6717629564. The cubic root of 1032765672 is about 1010.8047280624.

The spelling of 1032765672 in words is "one billion, thirty-two million, seven hundred sixty-five thousand, six hundred seventy-two".