1072768 has 48 divisors (see below), whose sum is σ = 2348550. Its totient is φ = 487424.

The previous prime is 1072763. The next prime is 1072793. The reversal of 1072768 is 8672701.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1065024 + 7744 = 1032^2 + 88^2 .

It is not an unprimeable number, because it can be changed into a prime (1072763) 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 5 ways as a sum of consecutive naturals, for example, 36978 + ... + 37006.

2^1072768 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 1072768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174275).

1072768 is an abundant number, since it is smaller than the sum of its proper divisors (1275782).

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

1072768 is an equidigital number, since it uses as much as digits as its factorization.

1072768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 48 counting only the distinct ones).

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

The square root of 1072768 is about 1035.7451423975. The cubic root of 1072768 is about 102.3690336053.

The spelling of 1072768 in words is "one million, seventy-two thousand, seven hundred sixty-eight".