166965072 has 80 divisors (see below), whose sum is σ = 441668160. Its totient is φ = 54337536.

The previous prime is 166965067. The next prime is 166965107. The reversal of 166965072 is 270569661.

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, 620554 + ... + 620822.

It is an arithmetic number, because the mean of its divisors is an integer number (5520852).

Almost surely, 2^166965072 is an apocalyptic number.

166965072 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 166965072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220834080).

166965072 is an abundant number, since it is smaller than the sum of its proper divisors (274703088).

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

166965072 is a wasteful number, since it uses less digits than its factorization.

166965072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 166965072 is about 12921.4965077579. The cubic root of 166965072 is about 550.6494498959.

The spelling of 166965072 in words is "one hundred sixty-six million, nine hundred sixty-five thousand, seventy-two".