73566138 has 64 divisors (see below), whose sum is σ = 161533440. Its totient is φ = 22254912.

The previous prime is 73566107. The next prime is 73566149. The reversal of 73566138 is 83166537.

It is a junction number, because it is equal to n+sod(n) for n = 73566096 and 73566105.

It is an unprimeable number.

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, 451245 + ... + 451407.

It is an arithmetic number, because the mean of its divisors is an integer number (2523960).

Almost surely, 2^73566138 is an apocalyptic number.

73566138 is an abundant number, since it is smaller than the sum of its proper divisors (87967302).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

73566138 is a wasteful number, since it uses less digits than its factorization.

73566138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331.

The product of its digits is 90720, while the sum is 39.

The square root of 73566138 is about 8577.0704788990. The cubic root of 73566138 is about 419.0115417292.

The spelling of 73566138 in words is "seventy-three million, five hundred sixty-six thousand, one hundred thirty-eight".