1135872 has 108 divisors (see below), whose sum is σ = 3587220. Its totient is φ = 344064.

The previous prime is 1135861. The next prime is 1135873. The reversal of 1135872 is 2785311.

It can be written as a sum of positive squares in 2 ways, for example, as 746496 + 389376 = 864^2 + 624^2 .

It is a zygodrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1135873) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39154 + ... + 39182.

It is an arithmetic number, because the mean of its divisors is an integer number (33215).

2^1135872 is an apocalyptic number.

1135872 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 1135872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1793610).

1135872 is an abundant number, since it is smaller than the sum of its proper divisors (2451348).

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

1135872 is a wasteful number, since it uses less digits than its factorization.

1135872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 51 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 1135872 is about 1065.7729589364. The cubic root of 1135872 is about 104.3381498274.

The spelling of 1135872 in words is "one million, one hundred thirty-five thousand, eight hundred seventy-two".