86752 has 12 divisors (see below), whose sum is σ = 170856. Its totient is φ = 43360.

The previous prime is 86743. The next prime is 86753. The reversal of 86752 is 25768.

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 86752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1324 + ... + 1387.

It is an arithmetic number, because the mean of its divisors is an integer number (14238).

2⁸⁶⁷⁵² is an apocalyptic number.

It is an amenable number.

86752 is a deficient number, since it is larger than the sum of its proper divisors (84104).

86752 is a wasteful number, since it uses less digits than its factorization.

86752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2721 (or 2713 counting only the distinct ones).

The product of its digits is 3360, while the sum is 28.

The square root of 86752 is about 294.5369246801. The cubic root of 86752 is about 44.2683327061.

It can be divided in two parts, 867 and 52, that added together give a palindrome (919).

The spelling of 86752 in words is "eighty-six thousand, seven hundred fifty-two".