72164903 has 2 divisors, whose sum is σ = 72164904. Its totient is φ = 72164902.

The previous prime is 72164839. The next prime is 72164927. The reversal of 72164903 is 30946127.

It is a strong prime.

It is an emirp because it is prime and its reverse (30946127) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72164903 - 2⁶ = 72164839 is a prime.

It is equal to p_4237835 and since 72164903 and 4237835 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72164903.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72164933) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36082451 + 36082452.

It is an arithmetic number, because the mean of its divisors is an integer number (36082452).

Almost surely, 2^72164903 is an apocalyptic number.

72164903 is a deficient number, since it is larger than the sum of its proper divisors (1).

72164903 is an equidigital number, since it uses as much as digits as its factorization.

72164903 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 72164903 is about 8494.9928193024. The cubic root of 72164903 is about 416.3341262088.

The spelling of 72164903 in words is "seventy-two million, one hundred sixty-four thousand, nine hundred three".