166072320 has 312 divisors, whose sum is σ = 621008856. Its totient is φ = 40894464.

The previous prime is 166072307. The next prime is 166072327. The reversal of 166072320 is 23270661.

It is a happy number.

166072320 is a `hidden beast` number, since 16 + 607 + 23 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 50466816 + 115605504 = 7104^2 + 10752^2 .

It is not an unprimeable number, because it can be changed into a prime (166072327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3133414 + ... + 3133466.

It is an arithmetic number, because the mean of its divisors is an integer number (1990413).

Almost surely, 2^166072320 is an apocalyptic number.

166072320 is a gapful number since it is divisible by the number (10) 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 166072320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310504428).

166072320 is an abundant number, since it is smaller than the sum of its proper divisors (454936536).

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

166072320 is a wasteful number, since it uses less digits than its factorization.

166072320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 166072320 is about 12886.9049814143. The cubic root of 166072320 is about 549.6662658542. Note that the first 3 decimals are identical.

The spelling of 166072320 in words is "one hundred sixty-six million, seventy-two thousand, three hundred twenty".