166272960 has 224 divisors, whose sum is σ = 611550720. Its totient is φ = 37490688.

The previous prime is 166272943. The next prime is 166272973. The reversal of 166272960 is 69272661.

166272960 = T₆₈₈₉ + T₆₈₉₀ + ... + T₆₈₉₅.

166272960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 732367 + ... + 732593.

Almost surely, 2^166272960 is an apocalyptic number.

166272960 is a gapful number since it is divisible by the number (10) 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 166272960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305775360).

166272960 is an abundant number, since it is smaller than the sum of its proper divisors (445277760).

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

166272960 is a wasteful number, since it uses less digits than its factorization.

166272960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 166272960 is about 12894.6872781002. The cubic root of 166272960 is about 549.8875362337.

The spelling of 166272960 in words is "one hundred sixty-six million, two hundred seventy-two thousand, nine hundred sixty".