72217633 has 2 divisors, whose sum is σ = 72217634. Its totient is φ = 72217632.

The previous prime is 72217619. The next prime is 72217637. The reversal of 72217633 is 33671227.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 45468049 + 26749584 = 6743^2 + 5172^2 .

It is a cyclic number.

It is not a de Polignac number, because 72217633 - 2⁵ = 72217601 is a prime.

It is a super-2 number, since 2×72217633² = 10430773032245378, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72217595 and 72217604.

It is not a weakly prime, because it can be changed into another prime (72217637) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36108816 + 36108817.

It is an arithmetic number, because the mean of its divisors is an integer number (36108817).

Almost surely, 2^72217633 is an apocalyptic number.

It is an amenable number.

72217633 is a deficient number, since it is larger than the sum of its proper divisors (1).

72217633 is an equidigital number, since it uses as much as digits as its factorization.

72217633 is an evil number, because the sum of its binary digits is even.

The product of its digits is 10584, while the sum is 31.

The square root of 72217633 is about 8498.0958455409. The cubic root of 72217633 is about 416.4355049157.

The spelling of 72217633 in words is "seventy-two million, two hundred seventeen thousand, six hundred thirty-three".