1027872 has 72 divisors (see below), whose sum is σ = 3027024. Its totient is φ = 330624.

The previous prime is 1027853. The next prime is 1027883. The reversal of 1027872 is 2787201.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12343 + ... + 12425.

It is an arithmetic number, because the mean of its divisors is an integer number (42042).

2^1027872 is an apocalyptic number.

1027872 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 1027872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1513512).

1027872 is an abundant number, since it is smaller than the sum of its proper divisors (1999152).

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

1027872 is a wasteful number, since it uses less digits than its factorization.

1027872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 1027872 is about 1013.8402240985. The cubic root of 1027872 is about 100.9205662404.

The spelling of 1027872 in words is "one million, twenty-seven thousand, eight hundred seventy-two".