166873728 has 64 divisors (see below), whose sum is σ = 506589120. Its totient is φ = 47677440.

The previous prime is 166873727. The next prime is 166873747. The reversal of 166873728 is 827378661.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (166873723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28353 + ... + 33728.

It is an arithmetic number, because the mean of its divisors is an integer number (7915455).

Almost surely, 2^166873728 is an apocalyptic number.

It is an amenable number.

166873728 is an abundant number, since it is smaller than the sum of its proper divisors (339715392).

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

166873728 is an equidigital number, since it uses as much as digits as its factorization.

166873728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62105 (or 62093 counting only the distinct ones).

The product of its digits is 677376, while the sum is 48.

The square root of 166873728 is about 12917.9614490832. The cubic root of 166873728 is about 550.5490143217.

The spelling of 166873728 in words is "one hundred sixty-six million, eight hundred seventy-three thousand, seven hundred twenty-eight".