1081728072 has 96 divisors (see below), whose sum is σ = 3065283000. Its totient is φ = 344171520.

The previous prime is 1081728013. The next prime is 1081728073. The reversal of 1081728072 is 2708271801.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 962612676 + 119115396 = 31026^2 + 10914^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1081728073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 182922 + ... + 188742.

Almost surely, 2^1081728072 is an apocalyptic number.

1081728072 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 1081728072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532641500).

1081728072 is an abundant number, since it is smaller than the sum of its proper divisors (1983554928).

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

1081728072 is a wasteful number, since it uses less digits than its factorization.

1081728072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5951 (or 5944 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The square root of 1081728072 is about 32889.6347197715. The cubic root of 1081728072 is about 1026.5324915076.

Adding to 1081728072 its reverse (2708271801), we get a palindrome (3789999873).

The spelling of 1081728072 in words is "one billion, eighty-one million, seven hundred twenty-eight thousand, seventy-two".