166105072 has 40 divisors (see below), whose sum is σ = 368453600. Its totient is φ = 71062272.

The previous prime is 166105067. The next prime is 166105073. The reversal of 166105072 is 270501661.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 166105072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166105073) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91954 + ... + 93742.

It is an arithmetic number, because the mean of its divisors is an integer number (9211340).

Almost surely, 2^166105072 is an apocalyptic number.

It is an amenable number.

166105072 is an abundant number, since it is smaller than the sum of its proper divisors (202348528).

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

166105072 is a wasteful number, since it uses less digits than its factorization.

166105072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2633 (or 2627 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 166105072 is about 12888.1756660902. The cubic root of 166105072 is about 549.7023976756.

The spelling of 166105072 in words is "one hundred sixty-six million, one hundred five thousand, seventy-two".