73002581 has 2 divisors, whose sum is σ = 73002582. Its totient is φ = 73002580.

The previous prime is 73002533. The next prime is 73002583. The reversal of 73002581 is 18520037.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69639025 + 3363556 = 8345^2 + 1834^2 .

It is a cyclic number.

It is not a de Polignac number, because 73002581 - 2¹⁴ = 72986197 is a prime.

It is a super-2 number, since 2×73002581² = 10658753665323122, which contains 22 as substring.

Together with 73002583, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 73002581.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (73002583) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36501290 + 36501291.

It is an arithmetic number, because the mean of its divisors is an integer number (36501291).

Almost surely, 2^73002581 is an apocalyptic number.

It is an amenable number.

73002581 is a deficient number, since it is larger than the sum of its proper divisors (1).

73002581 is an equidigital number, since it uses as much as digits as its factorization.

73002581 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 73002581 is about 8544.1547855829. The cubic root of 73002581 is about 417.9388450935.

The spelling of 73002581 in words is "seventy-three million, two thousand, five hundred eighty-one".