71517312 has 48 divisors (see below), whose sum is σ = 205801830. Its totient is φ = 23838720.

The previous prime is 71517289. The next prime is 71517319. The reversal of 71517312 is 21371517.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 70963776 + 553536 = 8424^2 + 744^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×71517312² = 10229451831410688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (71517319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 29889 + ... + 32192.

Almost surely, 2^71517312 is an apocalyptic number.

71517312 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

71517312 is an abundant number, since it is smaller than the sum of its proper divisors (134284518).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

71517312 is a wasteful number, since it uses less digits than its factorization.

71517312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62101 (or 62086 counting only the distinct ones).

The product of its digits is 1470, while the sum is 27.

The square root of 71517312 is about 8456.7908807065. The cubic root of 71517312 is about 415.0850205640.

Adding to 71517312 its reverse (21371517), we get a palindrome (92888829).

The spelling of 71517312 in words is "seventy-one million, five hundred seventeen thousand, three hundred twelve".