81027072 has 168 divisors, whose sum is σ = 269205456. Its totient is φ = 23003136.

The previous prime is 81027071. The next prime is 81027109. The reversal of 81027072 is 27072018.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81027071) 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 11 ways as a sum of consecutive naturals, for example, 516018 + ... + 516174.

Almost surely, 2^81027072 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 81027072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134602728).

81027072 is an abundant number, since it is smaller than the sum of its proper divisors (188178384).

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

81027072 is a wasteful number, since it uses less digits than its factorization.

81027072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 81027072 is about 9001.5038743534. The cubic root of 81027072 is about 432.7230689087.

The spelling of 81027072 in words is "eighty-one million, twenty-seven thousand, seventy-two".