82066672 has 20 divisors (see below), whose sum is σ = 164134336. Its totient is φ = 39709440.

The previous prime is 82066657. The next prime is 82066679. The reversal of 82066672 is 27666028.

82066672 is an admirable number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82066679) 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 3 ways as a sum of consecutive naturals, for example, 82233 + ... + 83224.

Almost surely, 2^82066672 is an apocalyptic number.

It is an amenable number.

82066672 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

82066672 is a wasteful number, since it uses less digits than its factorization.

82066672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165496 (or 165490 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 82066672 is about 9059.0657354939. The cubic root of 82066672 is about 434.5658627238.

It can be divided in two parts, 8206 and 6672, that added together give a triangular number (14878 = T₁₇₂).

The spelling of 82066672 in words is "eighty-two million, sixty-six thousand, six hundred seventy-two".