71681016 has 128 divisors (see below), whose sum is σ = 205286400. Its totient is φ = 20666880.

The previous prime is 71680981. The next prime is 71681017. The reversal of 71681016 is 61018617.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71681017) 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 31 ways as a sum of consecutive naturals, for example, 657570 + ... + 657678.

It is an arithmetic number, because the mean of its divisors is an integer number (1603800).

Almost surely, 2^71681016 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 71681016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102643200).

71681016 is an abundant number, since it is smaller than the sum of its proper divisors (133605384).

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

71681016 is a wasteful number, since it uses less digits than its factorization.

71681016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 71681016 is about 8466.4641970542. The cubic root of 71681016 is about 415.4014907780.

The spelling of 71681016 in words is "seventy-one million, six hundred eighty-one thousand, sixteen".