1001331072 has 384 divisors, whose sum is σ = 3527935200. Its totient is φ = 282175488.

The previous prime is 1001331029. The next prime is 1001331073. The reversal of 1001331072 is 2701331001.

1001331072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001331073) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13716828 + ... + 13716900.

Almost surely, 2^1001331072 is an apocalyptic number.

1001331072 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 1001331072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1763967600).

1001331072 is an abundant number, since it is smaller than the sum of its proper divisors (2526604128).

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

1001331072 is an frugal number, since it uses more digits than its factorization.

1001331072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 1001331072 is about 31643.8156991220. The cubic root of 1001331072 is about 1000.4434939507.

Adding to 1001331072 its reverse (2701331001), we get a palindrome (3702662073).

The spelling of 1001331072 in words is "one billion, one million, three hundred thirty-one thousand, seventy-two".