166582752 has 96 divisors (see below), whose sum is σ = 510048000. Its totient is φ = 47585664.

The previous prime is 166582723. The next prime is 166582753. The reversal of 166582752 is 257285661.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166582753) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30399 + ... + 35457.

It is an arithmetic number, because the mean of its divisors is an integer number (5313000).

Almost surely, 2^166582752 is an apocalyptic number.

166582752 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 166582752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255024000).

166582752 is an abundant number, since it is smaller than the sum of its proper divisors (343465248).

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

166582752 is an equidigital number, since it uses as much as digits as its factorization.

166582752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5093 (or 5071 counting only the distinct ones).

The product of its digits is 201600, while the sum is 42.

The square root of 166582752 is about 12906.6940771059. The cubic root of 166582752 is about 550.2288326026.

The spelling of 166582752 in words is "one hundred sixty-six million, five hundred eighty-two thousand, seven hundred fifty-two".