1072896 has 72 divisors (see below), whose sum is σ = 3139584. Its totient is φ = 322560.

The previous prime is 1072867. The next prime is 1072901. The reversal of 1072896 is 6982701.

It is a super-2 number, since 2×1072896² = 2302211653632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 7 ways as a sum of consecutive naturals, for example, 8385 + ... + 8511.

2^1072896 is an apocalyptic number.

1072896 is a gapful number since it is divisible by the number (16) 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 1072896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1569792).

1072896 is an abundant number, since it is smaller than the sum of its proper divisors (2066688).

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

1072896 is a wasteful number, since it uses less digits than its factorization.

1072896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 1072896 is about 1035.8069318169. The cubic root of 1072896 is about 102.3731049159.

It can be divided in two parts, 107 and 2896, that added together give a palindrome (3003).

The spelling of 1072896 in words is "one million, seventy-two thousand, eight hundred ninety-six".