76512 has 24 divisors (see below), whose sum is σ = 201096. Its totient is φ = 25472.

The previous prime is 76511. The next prime is 76519. The reversal of 76512 is 21567.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×76512² = 11708172288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76511) 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 in 3 ways as a sum of consecutive naturals, for example, 303 + ... + 494.

It is an arithmetic number, because the mean of its divisors is an integer number (8379).

2⁷⁶⁵¹² is an apocalyptic number.

It is an amenable number.

76512 is an abundant number, since it is smaller than the sum of its proper divisors (124584).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100548).

76512 is a wasteful number, since it uses less digits than its factorization.

76512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 802 counting only the distinct ones).

The product of its digits is 420, while the sum is 21.

The square root of 76512 is about 276.6080259139. The cubic root of 76512 is about 42.4531432840.

Subtracting from 76512 its reverse (21567), we obtain a palindrome (54945).

It can be divided in two parts, 765 and 12, that multiplied together give a triangular number (9180 = T₁₃₅).

The spelling of 76512 in words is "seventy-six thousand, five hundred twelve".