166415172 has 108 divisors (see below), whose sum is σ = 496707120. Its totient is φ = 43206240.

The previous prime is 166415131. The next prime is 166415191. The reversal of 166415172 is 271514661.

166415172 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 69979 + ... + 72317.

It is an arithmetic number, because the mean of its divisors is an integer number (4599140).

Almost surely, 2^166415172 is an apocalyptic number.

166415172 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 166415172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248353560).

166415172 is an abundant number, since it is smaller than the sum of its proper divisors (330291948).

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

166415172 is a wasteful number, since it uses less digits than its factorization.

166415172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2382 (or 2362 counting only the distinct ones).

The product of its digits is 10080, while the sum is 33.

The square root of 166415172 is about 12900.2004635587. The cubic root of 166415172 is about 550.0442631043.

It can be divided in two parts, 1664 and 15172, that added together give a triangular number (16836 = T₁₈₃).

The spelling of 166415172 in words is "one hundred sixty-six million, four hundred fifteen thousand, one hundred seventy-two".