73138 has 16 divisors (see below), whose sum is σ = 123480. Its totient is φ = 32256.

The previous prime is 73133. The next prime is 73141. The reversal of 73138 is 83137.

It can be written as a sum of positive squares in 4 ways, for example, as 49729 + 23409 = 223^2 + 153^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73133) by changing a digit.

73138 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 706 + ... + 802.

2⁷³¹³⁸ is an apocalyptic number.

73138 is a deficient number, since it is larger than the sum of its proper divisors (50342).

73138 is a wasteful number, since it uses less digits than its factorization.

73138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141.

The product of its digits is 504, while the sum is 22.

The square root of 73138 is about 270.4403816001. The cubic root of 73138 is about 41.8197109483.

Subtracting 73138 from its reverse (83137), we obtain a palindrome (9999).

The spelling of 73138 in words is "seventy-three thousand, one hundred thirty-eight".