166725120 has 160 divisors (see below), whose sum is σ = 564794208. Its totient is φ = 41811968.

The previous prime is 166725113. The next prime is 166725149. The reversal of 166725120 is 21527661.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129922 + ... + 131198.

Almost surely, 2^166725120 is an apocalyptic number.

166725120 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 166725120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282397104).

166725120 is an abundant number, since it is smaller than the sum of its proper divisors (398069088).

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

166725120 is a wasteful number, since it uses less digits than its factorization.

166725120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1320 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 166725120 is about 12912.2081767605. The cubic root of 166725120 is about 550.3855368473.

The spelling of 166725120 in words is "one hundred sixty-six million, seven hundred twenty-five thousand, one hundred twenty".