166227072 has 256 divisors, whose sum is σ = 528768000. Its totient is φ = 45731840.

The previous prime is 166227041. The next prime is 166227073. The reversal of 166227072 is 270722661.

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 (166227073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2817379 + ... + 2817437.

It is an arithmetic number, because the mean of its divisors is an integer number (2065500).

Almost surely, 2^166227072 is an apocalyptic number.

166227072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166227072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264384000).

166227072 is an abundant number, since it is smaller than the sum of its proper divisors (362540928).

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

166227072 is a wasteful number, since it uses less digits than its factorization.

166227072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 166227072 is about 12892.9078178664. The cubic root of 166227072 is about 549.8369456047.

The spelling of 166227072 in words is "one hundred sixty-six million, two hundred twenty-seven thousand, seventy-two".