73730 has 16 divisors (see below), whose sum is σ = 135864. Its totient is φ = 28800.

The previous prime is 73727. The next prime is 73751. The reversal of 73730 is 3737.

73730 = T₁₉₀ + T₁₉₁ + ... + T₁₉₃.

It can be written as a sum of positive squares in 4 ways, for example, as 72361 + 1369 = 269^2 + 37^2 .

It is a super-2 number, since 2×73730² = 10872225800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 680 + ... + 780.

2⁷³⁷³⁰ is an apocalyptic number.

73730 is a deficient number, since it is larger than the sum of its proper divisors (62134).

73730 is a wasteful number, since it uses less digits than its factorization.

73730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181.

The product of its (nonzero) digits is 441, while the sum is 20.

The square root of 73730 is about 271.5326867985. The cubic root of 73730 is about 41.9322414621.

It can be divided in two parts, 737 and 30, that added together give a palindrome (767).

The spelling of 73730 in words is "seventy-three thousand, seven hundred thirty".