73137 has 4 divisors (see below), whose sum is σ = 97520. Its totient is φ = 48756.

The previous prime is 73133. The next prime is 73141.

73137 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is an interprime number because it is at equal distance from previous prime (73133) and next prime (73141).

It is not a de Polignac number, because 73137 - 2² = 73133 is a prime.

It is a D-number.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 73137.

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

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12187 + ... + 12192.

It is an arithmetic number, because the mean of its divisors is an integer number (24380).

2⁷³¹³⁷ is an apocalyptic number.

It is an amenable number.

73137 is a deficient number, since it is larger than the sum of its proper divisors (24383).

73137 is a wasteful number, since it uses less digits than its factorization.

73137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24382.

The product of its digits is 441, while the sum is 21.

The square root of 73137 is about 270.4385327574. The cubic root of 73137 is about 41.8195203501.

It can be divided in two parts, 73 and 137, that multiplied together give a palindrome (10001).

The spelling of 73137 in words is "seventy-three thousand, one hundred thirty-seven".