72164461 has 2 divisors, whose sum is σ = 72164462. Its totient is φ = 72164460.

The previous prime is 72164459. The next prime is 72164483. The reversal of 72164461 is 16446127.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63696361 + 8468100 = 7981^2 + 2910^2 .

It is a cyclic number.

It is not a de Polignac number, because 72164461 - 2¹ = 72164459 is a prime.

Together with 72164459, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72164401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36082230 + 36082231.

It is an arithmetic number, because the mean of its divisors is an integer number (36082231).

Almost surely, 2^72164461 is an apocalyptic number.

It is an amenable number.

72164461 is a deficient number, since it is larger than the sum of its proper divisors (1).

72164461 is an equidigital number, since it uses as much as digits as its factorization.

72164461 is an evil number, because the sum of its binary digits is even.

The product of its digits is 8064, while the sum is 31.

The square root of 72164461 is about 8494.9668039375. The cubic root of 72164461 is about 416.3332762109. Note that the first 3 decimals are identical.

The spelling of 72164461 in words is "seventy-two million, one hundred sixty-four thousand, four hundred sixty-one".