73682 has 16 divisors (see below), whose sum is σ = 133440. Its totient is φ = 29808.

The previous prime is 73681. The next prime is 73693. The reversal of 73682 is 28637.

It is a d-powerful number, because it can be written as 7³ + 3³ + 6⁵ + 8⁵ + 2¹⁵ .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 73682.

It is not an unprimeable number, because it can be changed into a prime (73681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128 + ... + 404.

It is an arithmetic number, because the mean of its divisors is an integer number (8340).

2⁷³⁶⁸² is an apocalyptic number.

73682 is a deficient number, since it is larger than the sum of its proper divisors (59758).

73682 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 12 representation: 73682 = (36782)₁₂.

73682 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305.

The product of its digits is 2016, while the sum is 26.

The square root of 73682 is about 271.4442852594. Note that the first 3 decimals coincide. The cubic root of 73682 is about 41.9231398547.

It can be divided in two parts, 736 and 82, that added together give a palindrome (818).

The spelling of 73682 in words is "seventy-three thousand, six hundred eighty-two".