76108032 has 432 divisors, whose sum is σ = 304474240. Its totient is φ = 18247680.

The previous prime is 76108027. The next prime is 76108033. The reversal of 76108032 is 23080167.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 76107987 and 76108005.

It is not an unprimeable number, because it can be changed into a prime (76108033) 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 47 ways as a sum of consecutive naturals, for example, 5854458 + ... + 5854470.

Almost surely, 2^76108032 is an apocalyptic number.

76108032 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76108032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152237120).

76108032 is an abundant number, since it is smaller than the sum of its proper divisors (228366208).

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

76108032 is a wasteful number, since it uses less digits than its factorization.

76108032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 76108032 is about 8723.9917469012. The cubic root of 76108032 is about 423.7829671274.

Adding to 76108032 its reverse (23080167), we get a palindrome (99188199).

The spelling of 76108032 in words is "seventy-six million, one hundred eight thousand, thirty-two".