1743872 has 44 divisors (see below), whose sum is σ = 3782856. Its totient is φ = 798720.

The previous prime is 1743871. The next prime is 1743881. The reversal of 1743872 is 2783471.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a d-powerful number, because it can be written as 1 + 7 + 4¹⁰ + 3¹² + 8⁵ + 7 + 2¹⁷ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1743871) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 13247 + ... + 13377.

It is an arithmetic number, because the mean of its divisors is an integer number (85974).

2^1743872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1743872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1891428).

1743872 is an abundant number, since it is smaller than the sum of its proper divisors (2038984).

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

1743872 is a wasteful number, since it uses less digits than its factorization.

1743872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 146 counting only the distinct ones).

The product of its digits is 9408, while the sum is 32.

The square root of 1743872 is about 1320.5574580457. The cubic root of 1743872 is about 120.3662882110.

It can be divided in two parts, 1743 and 872, that multiplied together give a triangular number (1519896 = T₁₇₄₃).

The spelling of 1743872 in words is "one million, seven hundred forty-three thousand, eight hundred seventy-two".