1072115781 has 12 divisors (see below), whose sum is σ = 1571255616. Its totient is φ = 649766920.

The previous prime is 1072115743. The next prime is 1072115797. The reversal of 1072115781 is 1875112701.

It is not a de Polignac number, because 1072115781 - 2⁹ = 1072115269 is a prime.

It is a super-2 number, since 2×1072115781² = 2298864495738479922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1072115701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1476381 + ... + 1477106.

It is an arithmetic number, because the mean of its divisors is an integer number (130937968).

Almost surely, 2^1072115781 is an apocalyptic number.

1072115781 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1072115781 is a deficient number, since it is larger than the sum of its proper divisors (499139835).

1072115781 is a wasteful number, since it uses less digits than its factorization.

1072115781 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2953512 (or 2953501 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 33.

The square root of 1072115781 is about 32743.1791523059. The cubic root of 1072115781 is about 1023.4828337028.

The spelling of 1072115781 in words is "one billion, seventy-two million, one hundred fifteen thousand, seven hundred eighty-one".