71288415 has 48 divisors (see below), whose sum is σ = 136581120. Its totient is φ = 34107840.

The previous prime is 71288407. The next prime is 71288419. The reversal of 71288415 is 51488217.

It is not a de Polignac number, because 71288415 - 2³ = 71288407 is a prime.

It is a super-2 number, since 2×71288415² = 10164076226424450, 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 71288415.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71288419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38194 + ... + 40016.

It is an arithmetic number, because the mean of its divisors is an integer number (2845440).

Almost surely, 2^71288415 is an apocalyptic number.

71288415 is a deficient number, since it is larger than the sum of its proper divisors (65292705).

71288415 is a wasteful number, since it uses less digits than its factorization.

71288415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1924 (or 1921 counting only the distinct ones).

The product of its digits is 17920, while the sum is 36.

The square root of 71288415 is about 8443.2467096491. The cubic root of 71288415 is about 414.6417094357.

The spelling of 71288415 in words is "seventy-one million, two hundred eighty-eight thousand, four hundred fifteen".