73088073 has 12 divisors (see below), whose sum is σ = 105679860. Its totient is φ = 48675456.

The previous prime is 73088069. The next prime is 73088087. The reversal of 73088073 is 37088037.

It can be written as a sum of positive squares in 2 ways, for example, as 5322249 + 67765824 = 2307^2 + 8232^2 .

It is not a de Polignac number, because 73088073 - 2² = 73088069 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (73088023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6565 + ... + 13757.

It is an arithmetic number, because the mean of its divisors is an integer number (8806655).

Almost surely, 2^73088073 is an apocalyptic number.

It is an amenable number.

73088073 is a deficient number, since it is larger than the sum of its proper divisors (32591787).

73088073 is a wasteful number, since it uses less digits than its factorization.

73088073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8328 (or 8325 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 73088073 is about 8549.1562741595. The cubic root of 73088073 is about 418.1019283187.

Subtracting from 73088073 its sum of digits (36), we obtain a palindrome (73088037).

The spelling of 73088073 in words is "seventy-three million, eighty-eight thousand, seventy-three".