72182181 has 16 divisors (see below), whose sum is σ = 99953280. Its totient is φ = 46298880.

The previous prime is 72182171. The next prime is 72182203. The reversal of 72182181 is 18128127.

It is a happy number.

It is not a de Polignac number, because 72182181 - 2⁷ = 72182053 is a prime.

It is a super-2 number, since 2×72182181² = 10420534507833522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72182161) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4960 + ... + 12998.

It is an arithmetic number, because the mean of its divisors is an integer number (6247080).

Almost surely, 2^72182181 is an apocalyptic number.

It is an amenable number.

72182181 is a deficient number, since it is larger than the sum of its proper divisors (27771099).

72182181 is a wasteful number, since it uses less digits than its factorization.

72182181 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8156.

The product of its digits is 1792, while the sum is 30.

The square root of 72182181 is about 8496.0097104464. The cubic root of 72182181 is about 416.3673503326.

The spelling of 72182181 in words is "seventy-two million, one hundred eighty-two thousand, one hundred eighty-one".