1201728 has 56 divisors (see below), whose sum is σ = 3474720. Its totient is φ = 363520.

The previous prime is 1201709. The next prime is 1201729. The reversal of 1201728 is 8271021.

It is a super-5 number, since 5×1201728⁵ (a number of 32 digits) contains 55555 as substring.

It is not an unprimeable number, because it can be changed into a prime (1201729) 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 7 ways as a sum of consecutive naturals, for example, 1828 + ... + 2396.

2^1201728 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 1201728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1737360).

1201728 is an abundant number, since it is smaller than the sum of its proper divisors (2272992).

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

1201728 is a wasteful number, since it uses less digits than its factorization.

1201728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 1201728 is about 1096.2335517580. The cubic root of 1201728 is about 106.3168400655.

Adding to 1201728 its reverse (8271021), we get a palindrome (9472749).

The spelling of 1201728 in words is "one million, two hundred one thousand, seven hundred twenty-eight".