166331772 has 24 divisors (see below), whose sum is σ = 431230800. Its totient is φ = 55443888.

The previous prime is 166331747. The next prime is 166331779. The reversal of 166331772 is 277133661.

166331772 is a `hidden beast` number, since 1 + 6 + 633 + 17 + 7 + 2 = 666.

166331772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×166331772³ (a number of 26 digits) contains 333 as substring.

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 (166331779) 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, 769947 + ... + 770162.

It is an arithmetic number, because the mean of its divisors is an integer number (17967950).

Almost surely, 2^166331772 is an apocalyptic number.

166331772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

166331772 is an abundant number, since it is smaller than the sum of its proper divisors (264899028).

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

166331772 is a wasteful number, since it uses less digits than its factorization.

166331772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1540122 (or 1540114 counting only the distinct ones).

The product of its digits is 31752, while the sum is 36.

The square root of 166331772 is about 12896.9675505523. The cubic root of 166331772 is about 549.9523617141.

The spelling of 166331772 in words is "one hundred sixty-six million, three hundred thirty-one thousand, seven hundred seventy-two".