1075872 has 48 divisors (see below), whose sum is σ = 3229632. Its totient is φ = 307200.

The previous prime is 1075859. The next prime is 1075897. The reversal of 1075872 is 2785701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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, 129 + ... + 1472.

It is an arithmetic number, because the mean of its divisors is an integer number (67284).

2^1075872 is an apocalyptic number.

1075872 is a gapful number since it is divisible by the number (12) 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 1075872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1614816).

1075872 is an abundant number, since it is smaller than the sum of its proper divisors (2153760).

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

1075872 is a wasteful number, since it uses less digits than its factorization.

1075872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1621 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 30.

The square root of 1075872 is about 1037.2424981652. The cubic root of 1075872 is about 102.4676717402.

The spelling of 1075872 in words is "one million, seventy-five thousand, eight hundred seventy-two".