1205728 has 24 divisors (see below), whose sum is σ = 2434320. Its totient is φ = 587520.

The previous prime is 1205717. The next prime is 1205731. The reversal of 1205728 is 8275021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 853 + ... + 1771.

It is an arithmetic number, because the mean of its divisors is an integer number (101430).

2^1205728 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 1205728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217160).

1205728 is an abundant number, since it is smaller than the sum of its proper divisors (1228592).

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

1205728 is an equidigital number, since it uses as much as digits as its factorization.

1205728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 1205728 is about 1098.0564648505. The cubic root of 1205728 is about 106.4346693888.

The spelling of 1205728 in words is "one million, two hundred five thousand, seven hundred twenty-eight".