71786016 has 36 divisors (see below), whose sum is σ = 204142302. Its totient is φ = 23928576.

The previous prime is 71785997. The next prime is 71786023. The reversal of 71786016 is 61068717.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 38192400 + 33593616 = 6180^2 + 5796^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 124341 + ... + 124916.

Almost surely, 2^71786016 is an apocalyptic number.

It is an amenable number.

71786016 is an abundant number, since it is smaller than the sum of its proper divisors (132356286).

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

71786016 is a wasteful number, since it uses less digits than its factorization.

71786016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249273 (or 249262 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 71786016 is about 8472.6628635866. The cubic root of 71786016 is about 415.6042217061.

The spelling of 71786016 in words is "seventy-one million, seven hundred eighty-six thousand, sixteen".