72516973 has 2 divisors, whose sum is σ = 72516974. Its totient is φ = 72516972.

The previous prime is 72516949. The next prime is 72517001. The reversal of 72516973 is 37961527.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 38900169 + 33616804 = 6237^2 + 5798^2 .

It is a cyclic number.

It is not a de Polignac number, because 72516973 - 2⁹ = 72516461 is a prime.

It is a super-2 number, since 2×72516973² = 10517422746165458, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72516173) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36258486 + 36258487.

It is an arithmetic number, because the mean of its divisors is an integer number (36258487).

Almost surely, 2^72516973 is an apocalyptic number.

It is an amenable number.

72516973 is a deficient number, since it is larger than the sum of its proper divisors (1).

72516973 is an equidigital number, since it uses as much as digits as its factorization.

72516973 is an evil number, because the sum of its binary digits is even.

The product of its digits is 79380, while the sum is 40.

The square root of 72516973 is about 8515.6898135148. The cubic root of 72516973 is about 417.0100828169.

The spelling of 72516973 in words is "seventy-two million, five hundred sixteen thousand, nine hundred seventy-three".