73509273 has 12 divisors (see below), whose sum is σ = 107155620. Its totient is φ = 48555936.

The previous prime is 73509259. The next prime is 73509281. The reversal of 73509273 is 37290537.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 40297104 + 33212169 = 6348^2 + 5763^2 .

It is not a de Polignac number, because 73509273 - 2⁸ = 73509017 is a prime.

It is a super-2 number, since 2×73509273² = 10807226433977058, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (73509203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36486 + ... + 38447.

It is an arithmetic number, because the mean of its divisors is an integer number (8929635).

Almost surely, 2^73509273 is an apocalyptic number.

It is an amenable number.

73509273 is a deficient number, since it is larger than the sum of its proper divisors (33646347).

73509273 is a wasteful number, since it uses less digits than its factorization.

73509273 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75048 (or 75045 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 36.

The square root of 73509273 is about 8573.7548950270. The cubic root of 73509273 is about 418.9035516771.

The spelling of 73509273 in words is "seventy-three million, five hundred nine thousand, two hundred seventy-three".