71988917 has 16 divisors (see below), whose sum is σ = 96657792. Its totient is φ = 51779520.

The previous prime is 71988901. The next prime is 71988937.

71988917 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 71988917 - 2⁴ = 71988901 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71988937) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34958 + ... + 36959.

It is an arithmetic number, because the mean of its divisors is an integer number (6041112).

Almost surely, 2^71988917 is an apocalyptic number.

71988917 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

It is an amenable number.

71988917 is a deficient number, since it is larger than the sum of its proper divisors (24668875).

71988917 is a wasteful number, since it uses less digits than its factorization.

71988917 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71948.

The product of its digits is 254016, while the sum is 50.

The square root of 71988917 is about 8484.6282770667. The cubic root of 71988917 is about 415.9954176178.

The spelling of 71988917 in words is "seventy-one million, nine hundred eighty-eight thousand, nine hundred seventeen".