166921272 has 96 divisors (see below), whose sum is σ = 519292800. Its totient is φ = 47449152.

The previous prime is 166921241. The next prime is 166921297. The reversal of 166921272 is 272129661.

166921272 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×166921272² = 55725422092195968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113679 + ... + 115137.

It is an arithmetic number, because the mean of its divisors is an integer number (5409300).

Almost surely, 2^166921272 is an apocalyptic number.

166921272 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 166921272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259646400).

166921272 is an abundant number, since it is smaller than the sum of its proper divisors (352371528).

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

166921272 is a wasteful number, since it uses less digits than its factorization.

166921272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1705 (or 1698 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 166921272 is about 12919.8015464635. The cubic root of 166921272 is about 550.6012950036.

The spelling of 166921272 in words is "one hundred sixty-six million, nine hundred twenty-one thousand, two hundred seventy-two".