1119872 has 32 divisors (see below), whose sum is σ = 2406180. Its totient is φ = 516096.

The previous prime is 1119871. The next prime is 1119907. The reversal of 1119872 is 2789111.

It can be written as a sum of positive squares in 2 ways, for example, as 1032256 + 87616 = 1016^2 + 296^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×1119872³ = 4213339096344428544, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1119871) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1328 + ... + 2000.

2^1119872 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 1119872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1203090).

1119872 is an abundant number, since it is smaller than the sum of its proper divisors (1286308).

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

1119872 is an equidigital number, since it uses as much as digits as its factorization.

1119872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 688 counting only the distinct ones).

The product of its digits is 1008, while the sum is 29.

The square root of 1119872 is about 1058.2400483822. The cubic root of 1119872 is about 103.8459257003.

It can be divided in two parts, 1119 and 872, that added together give a palindrome (1991).

The spelling of 1119872 in words is "one million, one hundred nineteen thousand, eight hundred seventy-two".