166275072 has 192 divisors, whose sum is σ = 513676800. Its totient is φ = 53084160.

The previous prime is 166275071. The next prime is 166275101. The reversal of 166275072 is 270572661.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166275071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1714128 + ... + 1714224.

It is an arithmetic number, because the mean of its divisors is an integer number (2675400).

Almost surely, 2^166275072 is an apocalyptic number.

166275072 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 166275072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256838400).

166275072 is an abundant number, since it is smaller than the sum of its proper divisors (347401728).

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

166275072 is an equidigital number, since it uses as much as digits as its factorization.

166275072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 166275072 is about 12894.7691720325. The cubic root of 166275072 is about 549.8898644486.

The spelling of 166275072 in words is "one hundred sixty-six million, two hundred seventy-five thousand, seventy-two".