8082752 has 84 divisors (see below), whose sum is σ = 18714720. Its totient is φ = 3446784.

The previous prime is 8082751. The next prime is 8082773. The reversal of 8082752 is 2572808.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8082751) 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, 351413 + ... + 351435.

Almost surely, 2^8082752 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 8082752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9357360).

8082752 is an abundant number, since it is smaller than the sum of its proper divisors (10631968).

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

8082752 is a wasteful number, since it uses less digits than its factorization.

8082752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 32.

The square root of 8082752 is about 2843.0181146099. The cubic root of 8082752 is about 200.6872358298.

The spelling of 8082752 in words is "eight million, eighty-two thousand, seven hundred fifty-two".