81073870272 has 224 divisors, whose sum is σ = 240765177600. Its totient is φ = 26751513600.

The previous prime is 81073870243. The next prime is 81073870279. The reversal of 81073870272 is 27207837018.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81073870279) 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 31 ways as a sum of consecutive naturals, for example, 83494747 + ... + 83495717.

Almost surely, 2^81073870272 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 81073870272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120382588800).

81073870272 is an abundant number, since it is smaller than the sum of its proper divisors (159691307328).

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

81073870272 is a wasteful number, since it uses less digits than its factorization.

81073870272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The spelling of 81073870272 in words is "eighty-one billion, seventy-three million, eight hundred seventy thousand, two hundred seventy-two".