1729224 has 96 divisors (see below), whose sum is σ = 5541120. Its totient is φ = 476928.

The previous prime is 1729207. The next prime is 1729229. The reversal of 1729224 is 4229271.

It is a Cunningham number, because it is equal to 1315²-1.

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 (1729229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23652 + ... + 23724.

It is an arithmetic number, because the mean of its divisors is an integer number (57720).

2^1729224 is an apocalyptic number.

1729224 is a gapful number since it is divisible by the number (14) 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 1729224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2770560).

1729224 is an abundant number, since it is smaller than the sum of its proper divisors (3811896).

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

1729224 is a wasteful number, since it uses less digits than its factorization.

1729224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 132 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 1729224 is about 1314.9996197718. Note that the first 3 decimals coincide. The cubic root of 1729224 is about 120.0283266461.

It can be divided in two parts, 1729 and 224, that added together give a triangular number (1953 = T₆₂).

The spelling of 1729224 in words is "one million, seven hundred twenty-nine thousand, two hundred twenty-four".