1067872 has 48 divisors (see below), whose sum is σ = 2413152. Its totient is φ = 460800.

The previous prime is 1067851. The next prime is 1067879. The reversal of 1067872 is 2787601.

It is a happy number.

It is a super-2 number, since 2×1067872² = 2280701216768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1067879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6997 + ... + 7147.

It is an arithmetic number, because the mean of its divisors is an integer number (50274).

2^1067872 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 1067872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1206576).

1067872 is an abundant number, since it is smaller than the sum of its proper divisors (1345280).

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

1067872 is a wasteful number, since it uses less digits than its factorization.

1067872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 31.

The square root of 1067872 is about 1033.3789237255. The cubic root of 1067872 is about 102.2130622612.

The spelling of 1067872 in words is "one million, sixty-seven thousand, eight hundred seventy-two".