76132032 has 56 divisors (see below), whose sum is σ = 207946752. Its totient is φ = 24556800.

The previous prime is 76132013. The next prime is 76132061. The reversal of 76132032 is 23023167.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 76131993 and 76132011.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 444 + ... + 12347.

Almost surely, 2^76132032 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 76132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103973376).

76132032 is an abundant number, since it is smaller than the sum of its proper divisors (131814720).

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

76132032 is a wasteful number, since it uses less digits than its factorization.

76132032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12837 (or 12827 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 76132032 is about 8725.3671555987. The cubic root of 76132032 is about 423.8275078591.

Adding to 76132032 its reverse (23023167), we get a palindrome (99155199).

The spelling of 76132032 in words is "seventy-six million, one hundred thirty-two thousand, thirty-two".