1117872 has 60 divisors (see below), whose sum is σ = 3578640. Its totient is φ = 319104.

The previous prime is 1117867. The next prime is 1117877. The reversal of 1117872 is 2787111.

It is an interprime number because it is at equal distance from previous prime (1117867) and next prime (1117877).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1117877) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 454 + ... + 1562.

It is an arithmetic number, because the mean of its divisors is an integer number (59644).

2^1117872 is an apocalyptic number.

1117872 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 1117872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1789320).

1117872 is an abundant number, since it is smaller than the sum of its proper divisors (2460768).

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

1117872 is a wasteful number, since it uses less digits than its factorization.

1117872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130 (or 1121 counting only the distinct ones).

The product of its digits is 784, while the sum is 27.

The square root of 1117872 is about 1057.2946609153. The cubic root of 1117872 is about 103.7840687457.

The spelling of 1117872 in words is "one million, one hundred seventeen thousand, eight hundred seventy-two".