72832 has 16 divisors (see below), whose sum is σ = 145350. Its totient is φ = 36352.

The previous prime is 72823. The next prime is 72859. The reversal of 72832 is 23827.

It is a happy number.

72832 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in only one way, i.e., 69696 + 3136 = 264^2 + 56^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

72832 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 as a sum of consecutive naturals, namely, 157 + ... + 412.

2⁷²⁸³² is an apocalyptic number.

It is an amenable number.

72832 is a deficient number, since it is larger than the sum of its proper divisors (72518).

72832 is an equidigital number, since it uses as much as digits as its factorization.

72832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 571 counting only the distinct ones).

The product of its digits is 672, while the sum is 22.

The square root of 72832 is about 269.8740446949. The cubic root of 72832 is about 41.7613066536.

The spelling of 72832 in words is "seventy-two thousand, eight hundred thirty-two".