71696016 has 150 divisors (see below), whose sum is σ = 241601910. Its totient is φ = 20466432.

The previous prime is 71695979. The next prime is 71696029. The reversal of 71696016 is 61069617.

It can be written as a sum of positive squares in only one way, i.e., 46294416 + 25401600 = 6804^2 + 5040^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 14.

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 62940 + ... + 64068.

Almost surely, 2^71696016 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 71696016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120800955).

71696016 is an abundant number, since it is smaller than the sum of its proper divisors (169905894).

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

71696016 is a wasteful number, since it uses less digits than its factorization.

71696016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 71696016 is about 8467.3499986714. The cubic root of 71696016 is about 415.4304644548.

The spelling of 71696016 in words is "seventy-one million, six hundred ninety-six thousand, sixteen".