72164251 has 2 divisors, whose sum is σ = 72164252. Its totient is φ = 72164250.

The previous prime is 72164243. The next prime is 72164291. The reversal of 72164251 is 15246127.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 72164251 - 2³ = 72164243 is a prime.

It is not a weakly prime, because it can be changed into another prime (72164291) 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 as a sum of consecutive naturals, namely, 36082125 + 36082126.

It is an arithmetic number, because the mean of its divisors is an integer number (36082126).

Almost surely, 2^72164251 is an apocalyptic number.

72164251 is a deficient number, since it is larger than the sum of its proper divisors (1).

72164251 is an equidigital number, since it uses as much as digits as its factorization.

72164251 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3360, while the sum is 28.

The square root of 72164251 is about 8494.9544436683. The cubic root of 72164251 is about 416.3328723645.

The spelling of 72164251 in words is "seventy-two million, one hundred sixty-four thousand, two hundred fifty-one".