72166164 has 24 divisors (see below), whose sum is σ = 192443328. Its totient is φ = 20618880.

The previous prime is 72166163. The next prime is 72166187. The reversal of 72166164 is 46166127.

It is a super-3 number, since 3×72166164³ (a number of 25 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72166163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 429477 + ... + 429644.

It is an arithmetic number, because the mean of its divisors is an integer number (8018472).

Almost surely, 2^72166164 is an apocalyptic number.

It is an amenable number.

72166164 is an abundant number, since it is smaller than the sum of its proper divisors (120277164).

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

72166164 is a wasteful number, since it uses less digits than its factorization.

72166164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859135 (or 859133 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 72166164 is about 8495.0670391704. The cubic root of 72166164 is about 416.3365511839.

The spelling of 72166164 in words is "seventy-two million, one hundred sixty-six thousand, one hundred sixty-four".