81872352 has 72 divisors (see below), whose sum is σ = 233906400. Its totient is φ = 27164160.

The previous prime is 81872339. The next prime is 81872359. The reversal of 81872352 is 25327818.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81872359) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 77524 + ... + 78572.

It is an arithmetic number, because the mean of its divisors is an integer number (3248700).

Almost surely, 2^81872352 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 81872352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116953200).

81872352 is an abundant number, since it is smaller than the sum of its proper divisors (152034048).

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

81872352 is a wasteful number, since it uses less digits than its factorization.

81872352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336 (or 1325 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 81872352 is about 9048.3342113342. The cubic root of 81872352 is about 434.2225988280. Note that the first 3 decimals are identical.

The spelling of 81872352 in words is "eighty-one million, eight hundred seventy-two thousand, three hundred fifty-two".