71516016 has 240 divisors, whose sum is σ = 246984192. Its totient is φ = 19008000.

The previous prime is 71515963. The next prime is 71516017. The reversal of 71516016 is 61061517.

71516016 is a `hidden beast` number, since 7 + 1 + 51 + 601 + 6 = 666.

It is a super-2 number, since 2×71516016² = 10229081089024512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71516017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 473541 + ... + 473691.

Almost surely, 2^71516016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71516016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123492096).

71516016 is an abundant number, since it is smaller than the sum of its proper divisors (175468176).

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

71516016 is a wasteful number, since it uses less digits than its factorization.

71516016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 71516016 is about 8456.7142555487. The cubic root of 71516016 is about 415.0825132297.

The spelling of 71516016 in words is "seventy-one million, five hundred sixteen thousand, sixteen".