76132 has 12 divisors (see below), whose sum is σ = 152320. Its totient is φ = 32616.

The previous prime is 76129. The next prime is 76147. The reversal of 76132 is 23167.

76132 is an admirable number.

It is a nialpdrome in base 11.

It is an unprimeable number.

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, 1332 + ... + 1387.

2⁷⁶¹³² is an apocalyptic number.

It is an amenable number.

76132 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (76160).

76132 is a wasteful number, since it uses less digits than its factorization.

76132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2730 (or 2728 counting only the distinct ones).

The product of its digits is 252, while the sum is 19.

The square root of 76132 is about 275.9202783414. The cubic root of 76132 is about 42.3827448478.

Adding to 76132 its reverse (23167), we get a palindrome (99299).

It can be divided in two parts, 7 and 6132, that multiplied together give a palindrome (42924).

The spelling of 76132 in words is "seventy-six thousand, one hundred thirty-two".