166211772 has 48 divisors (see below), whose sum is σ = 412876800. Its totient is φ = 51891840.

The previous prime is 166211741. The next prime is 166211783. The reversal of 166211772 is 277112661.

It is a super-3 number, since 3×166211772³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16197 + ... + 24387.

It is an arithmetic number, because the mean of its divisors is an integer number (8601600).

Almost surely, 2^166211772 is an apocalyptic number.

166211772 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 166211772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206438400).

166211772 is an abundant number, since it is smaller than the sum of its proper divisors (246665028).

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

166211772 is a wasteful number, since it uses less digits than its factorization.

166211772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8306 (or 8304 counting only the distinct ones).

The product of its digits is 7056, while the sum is 33.

The square root of 166211772 is about 12892.3144547440. The cubic root of 166211772 is about 549.8200755821.

The spelling of 166211772 in words is "one hundred sixty-six million, two hundred eleven thousand, seven hundred seventy-two".