73832 has 16 divisors (see below), whose sum is σ = 151200. Its totient is φ = 33520.

The previous prime is 73823. The next prime is 73847. The reversal of 73832 is 23837.

It is an Ulam number.

It is a plaindrome in base 9 and base 12.

It is a junction number, because it is equal to n+sod(n) for n = 73798 and 73807.

It is an unprimeable number.

73832 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 332 + ... + 507.

It is an arithmetic number, because the mean of its divisors is an integer number (9450).

2⁷³⁸³² is an apocalyptic number.

It is an amenable number.

73832 is an abundant number, since it is smaller than the sum of its proper divisors (77368).

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 (75600).

73832 is a wasteful number, since it uses less digits than its factorization.

73832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 852 counting only the distinct ones).

The product of its digits is 1008, while the sum is 23.

The square root of 73832 is about 271.7204445749. The cubic root of 73832 is about 41.9515692699.

The spelling of 73832 in words is "seventy-three thousand, eight hundred thirty-two".