1337728 has 32 divisors (see below), whose sum is σ = 3047760. Its totient is φ = 572928.

The previous prime is 1337723. The next prime is 1337729. The reversal of 1337728 is 8277331.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1337728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1337723) 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 3 ways as a sum of consecutive naturals, for example, 150 + ... + 1642.

2^1337728 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 1337728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1523880).

1337728 is an abundant number, since it is smaller than the sum of its proper divisors (1710032).

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

1337728 is an equidigital number, since it uses as much as digits as its factorization.

1337728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1514 (or 1502 counting only the distinct ones).

The product of its digits is 7056, while the sum is 31.

The square root of 1337728 is about 1156.6019194174. The cubic root of 1337728 is about 110.1850329310.

The spelling of 1337728 in words is "one million, three hundred thirty-seven thousand, seven hundred twenty-eight".