1728792 has 48 divisors (see below), whose sum is σ = 5045040. Its totient is φ = 531648.

The previous prime is 1728773. The next prime is 1728809. The reversal of 1728792 is 2978271.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13 + ... + 1859.

It is an arithmetic number, because the mean of its divisors is an integer number (105105).

2^1728792 is an apocalyptic number.

1728792 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 1728792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2522520).

1728792 is an abundant number, since it is smaller than the sum of its proper divisors (3316248).

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

1728792 is a wasteful number, since it uses less digits than its factorization.

1728792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1872 (or 1865 counting only the distinct ones).

The product of its digits is 14112, while the sum is 36.

The square root of 1728792 is about 1314.8353509090. The cubic root of 1728792 is about 120.0183305331.

The spelling of 1728792 in words is "one million, seven hundred twenty-eight thousand, seven hundred ninety-two".