1123872 has 48 divisors (see below), whose sum is σ = 3084480. Its totient is φ = 357632.

The previous prime is 1123867. The next prime is 1123873. The reversal of 1123872 is 2783211.

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

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1123873) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1954 + ... + 2462.

It is an arithmetic number, because the mean of its divisors is an integer number (64260).

2^1123872 is an apocalyptic number.

1123872 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 1123872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542240).

1123872 is an abundant number, since it is smaller than the sum of its proper divisors (1960608).

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

1123872 is a wasteful number, since it uses less digits than its factorization.

1123872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 537 counting only the distinct ones).

The product of its digits is 672, while the sum is 24.

The square root of 1123872 is about 1060.1282941229. The cubic root of 1123872 is about 103.9694190165.

The spelling of 1123872 in words is "one million, one hundred twenty-three thousand, eight hundred seventy-two".