71966007 has 12 divisors (see below), whose sum is σ = 104388960. Its totient is φ = 47775168.

The previous prime is 71966003. The next prime is 71966009. The reversal of 71966007 is 70066917.

It is not a de Polignac number, because 71966007 - 2² = 71966003 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71966003) 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 11 ways as a sum of consecutive naturals, for example, 14578 + ... + 18879.

It is an arithmetic number, because the mean of its divisors is an integer number (8699080).

Almost surely, 2^71966007 is an apocalyptic number.

71966007 is a deficient number, since it is larger than the sum of its proper divisors (32422953).

71966007 is a wasteful number, since it uses less digits than its factorization.

71966007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33702 (or 33699 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 71966007 is about 8483.2780810250. The cubic root of 71966007 is about 415.9512836659.

It can be divided in two parts, 7196 and 6007, that added together give a triangular number (13203 = T₁₆₂).

The spelling of 71966007 in words is "seventy-one million, nine hundred sixty-six thousand, seven".