1067731872 has 96 divisors (see below), whose sum is σ = 2862840960. Its totient is φ = 348364800.

The previous prime is 1067731859. The next prime is 1067731877. The reversal of 1067731872 is 2781377601.

It is a happy number.

1067731872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1067731872² = 2280102700969248768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1067731877) 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, 1057704 + ... + 1058712.

It is an arithmetic number, because the mean of its divisors is an integer number (29821260).

Almost surely, 2^1067731872 is an apocalyptic number.

1067731872 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 1067731872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431420480).

1067731872 is an abundant number, since it is smaller than the sum of its proper divisors (1795109088).

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

1067731872 is a wasteful number, since it uses less digits than its factorization.

1067731872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 42.

The square root of 1067731872 is about 32676.1667274483. The cubic root of 1067731872 is about 1022.0859120770.

The spelling of 1067731872 in words is "one billion, sixty-seven million, seven hundred thirty-one thousand, eight hundred seventy-two".