81972096 has 128 divisors (see below), whose sum is σ = 239047200. Its totient is φ = 24772608.

The previous prime is 81972083. The next prime is 81972109. The reversal of 81972096 is 69027918.

It is an interprime number because it is at equal distance from previous prime (81972083) and next prime (81972109).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 189096 + ... + 189528.

Almost surely, 2^81972096 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 81972096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119523600).

81972096 is an abundant number, since it is smaller than the sum of its proper divisors (157075104).

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

81972096 is a wasteful number, since it uses less digits than its factorization.

81972096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 81972096 is about 9053.8442663876. The cubic root of 81972096 is about 434.3988631439.

The spelling of 81972096 in words is "eighty-one million, nine hundred seventy-two thousand, ninety-six".