66972112 has 40 divisors (see below), whose sum is σ = 144633600. Its totient is φ = 29855232.

The previous prime is 66972097. The next prime is 66972137. The reversal of 66972112 is 21127966.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1312 + ... + 11647.

It is an arithmetic number, because the mean of its divisors is an integer number (3615840).

Almost surely, 2^66972112 is an apocalyptic number.

It is an amenable number.

66972112 is an abundant number, since it is smaller than the sum of its proper divisors (77661488).

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

66972112 is a wasteful number, since it uses less digits than its factorization.

66972112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13003 (or 12997 counting only the distinct ones).

The product of its digits is 9072, while the sum is 34.

The square root of 66972112 is about 8183.6490638345. The cubic root of 66972112 is about 406.0984497597.

The spelling of 66972112 in words is "sixty-six million, nine hundred seventy-two thousand, one hundred twelve".