73005273 has 32 divisors (see below), whose sum is σ = 118473600. Its totient is φ = 44064000.

The previous prime is 73005263. The next prime is 73005281. The reversal of 73005273 is 37250037.

It is not a de Polignac number, because 73005273 - 2⁹ = 73004761 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (73005263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121173 + ... + 121773.

It is an arithmetic number, because the mean of its divisors is an integer number (3702300).

Almost surely, 2^73005273 is an apocalyptic number.

It is an amenable number.

73005273 is a deficient number, since it is larger than the sum of its proper divisors (45468327).

73005273 is a wasteful number, since it uses less digits than its factorization.

73005273 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 27.

The square root of 73005273 is about 8544.3123187299. The cubic root of 73005273 is about 417.9439822523.

The spelling of 73005273 in words is "seventy-three million, five thousand, two hundred seventy-three".