81838752 has 48 divisors (see below), whose sum is σ = 216407520. Its totient is φ = 27078912.

The previous prime is 81838751. The next prime is 81838763. The reversal of 81838752 is 25783818.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (81838751) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10278 + ... + 16410.

It is an arithmetic number, because the mean of its divisors is an integer number (4508490).

Almost surely, 2^81838752 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 81838752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108203760).

81838752 is an abundant number, since it is smaller than the sum of its proper divisors (134568768).

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

81838752 is a wasteful number, since it uses less digits than its factorization.

81838752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6285 (or 6277 counting only the distinct ones).

The product of its digits is 107520, while the sum is 42.

The square root of 81838752 is about 9046.4773254566. The cubic root of 81838752 is about 434.1631897793.

The spelling of 81838752 in words is "eighty-one million, eight hundred thirty-eight thousand, seven hundred fifty-two".