72946217 has 2 divisors, whose sum is σ = 72946218. Its totient is φ = 72946216.

The previous prime is 72946213. The next prime is 72946267. The reversal of 72946217 is 71264927.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61763881 + 11182336 = 7859^2 + 3344^2 .

It is an emirp because it is prime and its reverse (71264927) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72946217 - 2² = 72946213 is a prime.

It is a super-2 number, since 2×72946217² = 10642301149222178, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (72946213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36473108 + 36473109.

It is an arithmetic number, because the mean of its divisors is an integer number (36473109).

Almost surely, 2^72946217 is an apocalyptic number.

It is an amenable number.

72946217 is a deficient number, since it is larger than the sum of its proper divisors (1).

72946217 is an equidigital number, since it uses as much as digits as its factorization.

72946217 is an evil number, because the sum of its binary digits is even.

The product of its digits is 42336, while the sum is 38.

The square root of 72946217 is about 8540.8557533774. The cubic root of 72946217 is about 417.8312563393.

The spelling of 72946217 in words is "seventy-two million, nine hundred forty-six thousand, two hundred seventeen".