73037 has 2 divisors, whose sum is σ = 73038. Its totient is φ = 73036.

The previous prime is 73019. The next prime is 73039.

73037 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72361 + 676 = 269^2 + 26^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 73037 - 2⁶ = 72973 is a prime.

Together with 73039, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 73037.

It is not a weakly prime, because it can be changed into another prime (73039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36518 + 36519.

It is an arithmetic number, because the mean of its divisors is an integer number (36519).

2⁷³⁰³⁷ is an apocalyptic number.

It is an amenable number.

73037 is a deficient number, since it is larger than the sum of its proper divisors (1).

73037 is an equidigital number, since it uses as much as digits as its factorization.

73037 is an odious number, because the sum of its binary digits is odd.

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

The square root of 73037 is about 270.2535846201. The cubic root of 73037 is about 41.8004517552.

It can be divided in two parts, 730 and 37, that added together give a palindrome (767).

The spelling of 73037 in words is "seventy-three thousand, thirty-seven".