81833472 has 240 divisors, whose sum is σ = 280874880. Its totient is φ = 22450176.

The previous prime is 81833467. The next prime is 81833483. The reversal of 81833472 is 27433818.

81833472 is a `hidden beast` number, since 8 + 183 + 3 + 472 = 666.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1386979 + ... + 1387037.

It is an arithmetic number, because the mean of its divisors is an integer number (1170312).

Almost surely, 2^81833472 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 81833472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140437440).

81833472 is an abundant number, since it is smaller than the sum of its proper divisors (199041408).

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

81833472 is a wasteful number, since it uses less digits than its factorization.

81833472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 114 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 81833472 is about 9046.1854944501. The cubic root of 81833472 is about 434.1538525933.

The spelling of 81833472 in words is "eighty-one million, eight hundred thirty-three thousand, four hundred seventy-two".