72984217 has 2 divisors, whose sum is σ = 72984218. Its totient is φ = 72984216.

The previous prime is 72984209. The next prime is 72984251. The reversal of 72984217 is 71248927.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72914521 + 69696 = 8539^2 + 264^2 .

It is a cyclic number.

It is not a de Polignac number, because 72984217 - 2³ = 72984209 is a prime.

It is a super-2 number, since 2×72984217² = 10653391862206178, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 72984217.

It is not a weakly prime, because it can be changed into another prime (72984617) 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, 36492108 + 36492109.

It is an arithmetic number, because the mean of its divisors is an integer number (36492109).

Almost surely, 2^72984217 is an apocalyptic number.

It is an amenable number.

72984217 is a deficient number, since it is larger than the sum of its proper divisors (1).

72984217 is an equidigital number, since it uses as much as digits as its factorization.

72984217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 56448, while the sum is 40.

The square root of 72984217 is about 8543.0800651756. The cubic root of 72984217 is about 417.9037975993.

The spelling of 72984217 in words is "seventy-two million, nine hundred eighty-four thousand, two hundred seventeen".