1268072 has 32 divisors (see below), whose sum is σ = 2608200. Its totient is φ = 574464.

The previous prime is 1268053. The next prime is 1268077. The reversal of 1268072 is 2708621.

1268072 = T₃₁₃ + T₃₁₄ + ... + T₃₃₆.

It can be written as a sum of positive squares in 4 ways, for example, as 729316 + 538756 = 854^2 + 734^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (1268077) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9188 + ... + 9324.

2^1268072 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 1268072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1304100).

1268072 is an abundant number, since it is smaller than the sum of its proper divisors (1340128).

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

1268072 is a wasteful number, since it uses less digits than its factorization.

1268072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 1268072 is about 1126.0870303844. The cubic root of 1268072 is about 108.2383851836.

The spelling of 1268072 in words is "one million, two hundred sixty-eight thousand, seventy-two".