72166584 has 32 divisors (see below), whose sum is σ = 206190720. Its totient is φ = 20618976.

The previous prime is 72166583. The next prime is 72166597. The reversal of 72166584 is 48566127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72166583) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 214614 + ... + 214949.

It is an arithmetic number, because the mean of its divisors is an integer number (6443460).

Almost surely, 2^72166584 is an apocalyptic number.

It is an amenable number.

72166584 is an abundant number, since it is smaller than the sum of its proper divisors (134024136).

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

72166584 is a wasteful number, since it uses less digits than its factorization.

72166584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429579 (or 429575 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 72166584 is about 8495.0917593632. The cubic root of 72166584 is about 416.3373588616.

The spelling of 72166584 in words is "seventy-two million, one hundred sixty-six thousand, five hundred eighty-four".