166572 has 36 divisors (see below), whose sum is σ = 481936. Its totient is φ = 47520.

The previous prime is 166571. The next prime is 166597. The reversal of 166572 is 275661.

166572 is a `hidden beast` number, since 1 + 6 + 657 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (166571) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79 + ... + 582.

2¹⁶⁶⁵⁷² is an apocalyptic number.

166572 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 166572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240968).

166572 is an abundant number, since it is smaller than the sum of its proper divisors (315364).

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

166572 is a wasteful number, since it uses less digits than its factorization.

166572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 673 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 166572 is about 408.1323314809. The cubic root of 166572 is about 55.0216994267.

The spelling of 166572 in words is "one hundred sixty-six thousand, five hundred seventy-two".