71288217 has 96 divisors (see below), whose sum is σ = 142361856. Its totient is φ = 33177600.

The previous prime is 71288153. The next prime is 71288263.

It is a happy number.

71288217 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 71288217 - 2⁶ = 71288153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (71288317) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 369273 + ... + 369465.

It is an arithmetic number, because the mean of its divisors is an integer number (1482936).

Almost surely, 2^71288217 is an apocalyptic number.

71288217 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

It is an amenable number.

71288217 is a deficient number, since it is larger than the sum of its proper divisors (71073639).

71288217 is a wasteful number, since it uses less digits than its factorization.

71288217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 268 counting only the distinct ones).

The product of its digits is 12544, while the sum is 36.

The square root of 71288217 is about 8443.2349842936. The cubic root of 71288217 is about 414.6413255532.

The spelling of 71288217 in words is "seventy-one million, two hundred eighty-eight thousand, two hundred seventeen".