72182261 has 2 divisors, whose sum is σ = 72182262. Its totient is φ = 72182260.

The previous prime is 72182239. The next prime is 72182267. The reversal of 72182261 is 16228127.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72148036 + 34225 = 8494^2 + 185^2 .

It is a cyclic number.

It is not a de Polignac number, because 72182261 - 2¹⁸ = 71920117 is a prime.

It is a super-3 number, since 3×72182261³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72182267) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36091130 + 36091131.

It is an arithmetic number, because the mean of its divisors is an integer number (36091131).

Almost surely, 2^72182261 is an apocalyptic number.

It is an amenable number.

72182261 is a deficient number, since it is larger than the sum of its proper divisors (1).

72182261 is an equidigital number, since it uses as much as digits as its factorization.

72182261 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2688, while the sum is 29.

The square root of 72182261 is about 8496.0144185377. The cubic root of 72182261 is about 416.3675041535.

The spelling of 72182261 in words is "seventy-two million, one hundred eighty-two thousand, two hundred sixty-one".