166162752 has 280 divisors, whose sum is σ = 595010240. Its totient is φ = 44789760.

The previous prime is 166162727. The next prime is 166162757. The reversal of 166162752 is 257261661.

It is a happy number.

166162752 is a `hidden beast` number, since 16 + 616 + 27 + 5 + 2 = 666.

166162752 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×166162752³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 (166162757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 689352 + ... + 689592.

Almost surely, 2^166162752 is an apocalyptic number.

166162752 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 166162752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297505120).

166162752 is an abundant number, since it is smaller than the sum of its proper divisors (428847488).

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

166162752 is a wasteful number, since it uses less digits than its factorization.

166162752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 272 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 166162752 is about 12890.4131818961. The cubic root of 166162752 is about 549.7660183797.

The spelling of 166162752 in words is "one hundred sixty-six million, one hundred sixty-two thousand, seven hundred fifty-two".