79632 has 60 divisors (see below), whose sum is σ = 257920. Its totient is φ = 22464.

The previous prime is 79631. The next prime is 79633. The reversal of 79632 is 23697.

It is an interprime number because it is at equal distance from previous prime (79631) and next prime (79633).

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

It is a junction number, because it is equal to n+sod(n) for n = 79596 and 79605.

It is not an unprimeable number, because it can be changed into a prime (79631) 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 11 ways as a sum of consecutive naturals, for example, 969 + ... + 1047.

2⁷⁹⁶³² is an apocalyptic number.

79632 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 79632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128960).

79632 is an abundant number, since it is smaller than the sum of its proper divisors (178288).

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

79632 is a wasteful number, since it uses less digits than its factorization.

79632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 91 counting only the distinct ones).

The product of its digits is 2268, while the sum is 27.

The square root of 79632 is about 282.1914243913. The cubic root of 79632 is about 43.0225229041.

It can be divided in two parts, 796 and 32, that added together give a palindrome (828).

The spelling of 79632 in words is "seventy-nine thousand, six hundred thirty-two".