76736 has 28 divisors (see below), whose sum is σ = 167640. Its totient is φ = 34560.

The previous prime is 76733. The next prime is 76753. The reversal of 76736 is 63767.

It is a junction number, because it is equal to n+sod(n) for n = 76699 and 76708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76733) 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, 650 + ... + 758.

2⁷⁶⁷³⁶ 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 76736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83820).

76736 is an abundant number, since it is smaller than the sum of its proper divisors (90904).

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

76736 is a wasteful number, since it uses less digits than its factorization.

76736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 122 counting only the distinct ones).

The product of its digits is 5292, while the sum is 29.

The square root of 76736 is about 277.0126350909. The cubic root of 76736 is about 42.4945321685.

Adding to 76736 its product of digits (5292), we get a palindrome (82028).

The spelling of 76736 in words is "seventy-six thousand, seven hundred thirty-six".