73288 has 8 divisors (see below), whose sum is σ = 137430. Its totient is φ = 36640.

The previous prime is 73277. The next prime is 73291. The reversal of 73288 is 88237.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 66564 + 6724 = 258^2 + 82^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-3 number, since 3×73288³ = 1180918333871616, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a plaindrome in base 15.

It is an unprimeable number.

73288 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 (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4573 + ... + 4588.

2⁷³²⁸⁸ is an apocalyptic number.

It is an amenable number.

73288 is a deficient number, since it is larger than the sum of its proper divisors (64142).

73288 is a wasteful number, since it uses less digits than its factorization.

73288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9167 (or 9163 counting only the distinct ones).

The product of its digits is 2688, while the sum is 28.

The square root of 73288 is about 270.7175650009. The cubic root of 73288 is about 41.8482810171.

It can be divided in two parts, 732 and 88, that added together give a triangular number (820 = T₄₀).

The spelling of 73288 in words is "seventy-three thousand, two hundred eighty-eight".