73288341 has 32 divisors (see below), whose sum is σ = 124678400. Its totient is φ = 41679360.

The previous prime is 73288337. The next prime is 73288351. The reversal of 73288341 is 14388237.

It is not a de Polignac number, because 73288341 - 2² = 73288337 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 73288296 and 73288305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73288351) 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 31 ways as a sum of consecutive naturals, for example, 44745 + ... + 46353.

It is an arithmetic number, because the mean of its divisors is an integer number (3896200).

Almost surely, 2^73288341 is an apocalyptic number.

It is an amenable number.

73288341 is a deficient number, since it is larger than the sum of its proper divisors (51390059).

73288341 is a wasteful number, since it uses less digits than its factorization.

73288341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1866 (or 1860 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 73288341 is about 8560.8609964185. The cubic root of 73288341 is about 418.4834592196.

The spelling of 73288341 in words is "seventy-three million, two hundred eighty-eight thousand, three hundred forty-one".