66910272 has 112 divisors (see below), whose sum is σ = 208068672. Its totient is φ = 18708480.

The previous prime is 66910271. The next prime is 66910303. The reversal of 66910272 is 27201966.

It is a super-2 number, since 2×66910272² = 8953968998227968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (66910271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26238 + ... + 28674.

It is an arithmetic number, because the mean of its divisors is an integer number (1857756).

Almost surely, 2^66910272 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 66910272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104034336).

66910272 is an abundant number, since it is smaller than the sum of its proper divisors (141158400).

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

66910272 is a wasteful number, since it uses less digits than its factorization.

66910272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2476 (or 2466 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 66910272 is about 8179.8699256162. The cubic root of 66910272 is about 405.9734183055.

The spelling of 66910272 in words is "sixty-six million, nine hundred ten thousand, two hundred seventy-two".