1137728 has 28 divisors (see below), whose sum is σ = 2339340. Its totient is φ = 548352.

The previous prime is 1137707. The next prime is 1137733. The reversal of 1137728 is 8277311.

It can be written as a sum of positive squares in 2 ways, for example, as 200704 + 937024 = 448^2 + 968^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a self number, because there is not a number n which added to its sum of digits gives 1137728.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 1550 + ... + 2162.

2^1137728 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 1137728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169670).

1137728 is an abundant number, since it is smaller than the sum of its proper divisors (1201612).

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

1137728 is an equidigital number, since it uses as much as digits as its factorization.

1137728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 644 counting only the distinct ones).

The product of its digits is 2352, while the sum is 29.

The square root of 1137728 is about 1066.6433330781. The cubic root of 1137728 is about 104.3949479604.

The spelling of 1137728 in words is "one million, one hundred thirty-seven thousand, seven hundred twenty-eight".