72464166 has 64 divisors (see below), whose sum is σ = 171806400. Its totient is φ = 22560768.

The previous prime is 72464137. The next prime is 72464173. The reversal of 72464166 is 66146427.

72464166 is a `hidden beast` number, since 7 + 2 + 4 + 641 + 6 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 72464166.

It is a congruent number.

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, 176970 + ... + 177378.

It is an arithmetic number, because the mean of its divisors is an integer number (2684475).

Almost surely, 2^72464166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72464166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85903200).

72464166 is an abundant number, since it is smaller than the sum of its proper divisors (99342234).

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

72464166 is a wasteful number, since it uses less digits than its factorization.

72464166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 624 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 72464166 is about 8512.5886779522. The cubic root of 72464166 is about 416.9088357205.

The spelling of 72464166 in words is "seventy-two million, four hundred sixty-four thousand, one hundred sixty-six".