72182213 has 4 divisors (see below), whose sum is σ = 72299820. Its totient is φ = 72064608.

The previous prime is 72182207. The next prime is 72182233. The reversal of 72182213 is 31228127.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 31228127 = 7 ⋅4461161.

It can be written as a sum of positive squares in 2 ways, for example, as 41190724 + 30991489 = 6418^2 + 5567^2 .

It is a cyclic number.

It is not a de Polignac number, because 72182213 - 2¹⁶ = 72116677 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72182203) 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 3 ways as a sum of consecutive naturals, for example, 57878 + ... + 59111.

It is an arithmetic number, because the mean of its divisors is an integer number (18074955).

Almost surely, 2^72182213 is an apocalyptic number.

It is an amenable number.

72182213 is a deficient number, since it is larger than the sum of its proper divisors (117607).

72182213 is a wasteful number, since it uses less digits than its factorization.

72182213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117606.

The product of its digits is 1344, while the sum is 26.

The square root of 72182213 is about 8496.0115936832. The cubic root of 72182213 is about 416.3674118610.

The spelling of 72182213 in words is "seventy-two million, one hundred eighty-two thousand, two hundred thirteen".