72362161 has 2 divisors, whose sum is σ = 72362162. Its totient is φ = 72362160.

The previous prime is 72362159. The next prime is 72362189. The reversal of 72362161 is 16126327.

It is an a-pointer prime, because the next prime (72362189) can be obtained adding 72362161 to its sum of digits (28).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72165025 + 197136 = 8495^2 + 444^2 .

It is a cyclic number.

It is not a de Polignac number, because 72362161 - 2¹ = 72362159 is a prime.

Together with 72362159, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (72362461) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36181080 + 36181081.

It is an arithmetic number, because the mean of its divisors is an integer number (36181081).

Almost surely, 2^72362161 is an apocalyptic number.

It is an amenable number.

72362161 is a deficient number, since it is larger than the sum of its proper divisors (1).

72362161 is an equidigital number, since it uses as much as digits as its factorization.

72362161 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3024, while the sum is 28.

The square root of 72362161 is about 8506.5951472960. The cubic root of 72362161 is about 416.7131217182.

Adding to 72362161 its reverse (16126327), we get a palindrome (88488488).

The spelling of 72362161 in words is "seventy-two million, three hundred sixty-two thousand, one hundred sixty-one".