73345 has 4 divisors (see below), whose sum is σ = 88020. Its totient is φ = 58672.

The previous prime is 73331. The next prime is 73351. The reversal of 73345 is 54337.

73345 = 191² + 192².

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 54337 = 67 ⋅811.

It can be written as a sum of positive squares in 2 ways, for example, as 36864 + 36481 = 192^2 + 191^2 .

It is a cyclic number.

It is not a de Polignac number, because 73345 - 2¹⁵ = 40577 is a prime.

It is an unprimeable 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 in 3 ways as a sum of consecutive naturals, for example, 7330 + ... + 7339.

It is an arithmetic number, because the mean of its divisors is an integer number (22005).

2⁷³³⁴⁵ is an apocalyptic number.

73345 is the 192-nd centered square number.

It is an amenable number.

73345 is a deficient number, since it is larger than the sum of its proper divisors (14675).

73345 is a wasteful number, since it uses less digits than its factorization.

73345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14674.

The product of its digits is 1260, while the sum is 22.

The square root of 73345 is about 270.8228203088. The cubic root of 73345 is about 41.8591274216.

The spelling of 73345 in words is "seventy-three thousand, three hundred forty-five".