581066272 has 48 divisors (see below), whose sum is σ = 1200225600. Its totient is φ = 276532480.

The previous prime is 581066261. The next prime is 581066333. The reversal of 581066272 is 272660185.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61479 + ... + 70297.

It is an arithmetic number, because the mean of its divisors is an integer number (25004700).

Almost surely, 2^581066272 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 581066272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600112800).

581066272 is an abundant number, since it is smaller than the sum of its proper divisors (619159328).

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

581066272 is a wasteful number, since it uses less digits than its factorization.

581066272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8929 (or 8921 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 581066272 is about 24105.3162601116. The cubic root of 581066272 is about 834.4658263698.

The spelling of 581066272 in words is "five hundred eighty-one million, sixty-six thousand, two hundred seventy-two".