66206272 has 56 divisors (see below), whose sum is σ = 144475200. Its totient is φ = 29852160.

The previous prime is 66206263. The next prime is 66206281. The reversal of 66206272 is 27260266.

It is an interprime number because it is at equal distance from previous prime (66206263) and next prime (66206281).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110229 + ... + 110827.

Almost surely, 2^66206272 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 66206272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72237600).

66206272 is an abundant number, since it is smaller than the sum of its proper divisors (78268928).

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

66206272 is a wasteful number, since it uses less digits than its factorization.

66206272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 66206272 is about 8136.7236649649. The cubic root of 66206272 is about 404.5445716308.

The spelling of 66206272 in words is "sixty-six million, two hundred six thousand, two hundred seventy-two".