1087872 has 32 divisors (see below), whose sum is σ = 2890680. Its totient is φ = 362496.

The previous prime is 1087861. The next prime is 1087873. The reversal of 1087872 is 2787801.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×1087872³ = 3862376903337836544, which contains 333 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1087873) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1033 + ... + 1800.

2^1087872 is an apocalyptic number.

1087872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1087872 is an abundant number, since it is smaller than the sum of its proper divisors (1802808).

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

1087872 is an equidigital number, since it uses as much as digits as its factorization.

1087872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2850 (or 2838 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 33.

The square root of 1087872 is about 1043.0110258286. The cubic root of 1087872 is about 102.8472300853.

Subtracting from 1087872 its product of nonzero digits (6272), we obtain a square (1081600 = 1040²).

The spelling of 1087872 in words is "one million, eighty-seven thousand, eight hundred seventy-two".