1728216 has 96 divisors (see below), whose sum is σ = 5591040. Its totient is φ = 489888.

The previous prime is 1728193. The next prime is 1728229. The reversal of 1728216 is 6128271.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 1728216 = 6³ + 120³ = 44³ + 118³.

It is a self number, because there is not a number n which added to its sum of digits gives 1728216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13545 + ... + 13671.

It is an arithmetic number, because the mean of its divisors is an integer number (58240).

2^1728216 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 1728216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2795520).

1728216 is an abundant number, since it is smaller than the sum of its proper divisors (3862824).

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

1728216 is a wasteful number, since it uses less digits than its factorization.

1728216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 139 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 1728216 is about 1314.6162938287. The cubic root of 1728216 is about 120.0049997917.

It can be divided in two parts, 1728 and 216, that multiplied together give a cube (373248 = 72³).

The spelling of 1728216 in words is "one million, seven hundred twenty-eight thousand, two hundred sixteen".