71806416 has 160 divisors (see below), whose sum is σ = 215986176. Its totient is φ = 20352000.

The previous prime is 71806409. The next prime is 71806429. The reversal of 71806416 is 61460817.

It is a happy number.

It is a super-2 number, since 2×71806416² = 10312322757530112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 671035 + ... + 671141.

Almost surely, 2^71806416 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 71806416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107993088).

71806416 is an abundant number, since it is smaller than the sum of its proper divisors (144179760).

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

71806416 is a wasteful number, since it uses less digits than its factorization.

71806416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 71806416 is about 8473.8666498830. The cubic root of 71806416 is about 415.6435864905.

The spelling of 71806416 in words is "seventy-one million, eight hundred six thousand, four hundred sixteen".