66121272 has 192 divisors, whose sum is σ = 219098880. Its totient is φ = 18289152.

The previous prime is 66121271. The next prime is 66121301. The reversal of 66121272 is 27212166.

It is a super-2 number, since 2×66121272² = 8744045221795968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (2016) is a multiple of the sum of its prime divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66121271) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 585088 + ... + 585200.

It is an arithmetic number, because the mean of its divisors is an integer number (1141140).

Almost surely, 2^66121272 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 66121272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109549440).

66121272 is an abundant number, since it is smaller than the sum of its proper divisors (152977608).

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

66121272 is a wasteful number, since it uses less digits than its factorization.

66121272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 168 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 66121272 is about 8131.4987548422. The cubic root of 66121272 is about 404.3713704428.

The spelling of 66121272 in words is "sixty-six million, one hundred twenty-one thousand, two hundred seventy-two".