40166172 has 96 divisors (see below), whose sum is σ = 111767040. Its totient is φ = 12430080.

The previous prime is 40166143. The next prime is 40166177. The reversal of 40166172 is 27166104.

40166172 is a `hidden beast` number, since 40 + 1 + 6 + 617 + 2 = 666.

It is a super-2 number, since 2×40166172² = 3226642746267168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40166177) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 240433 + ... + 240599.

It is an arithmetic number, because the mean of its divisors is an integer number (1164240).

Almost surely, 2^40166172 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40166172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55883520).

40166172 is an abundant number, since it is smaller than the sum of its proper divisors (71600868).

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

40166172 is a wasteful number, since it uses less digits than its factorization.

40166172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 40166172 is about 6337.6787548755. The cubic root of 40166172 is about 342.4681185804.

The spelling of 40166172 in words is "forty million, one hundred sixty-six thousand, one hundred seventy-two".