165872070 has 256 divisors, whose sum is σ = 560609280. Its totient is φ = 33965568.

The previous prime is 165872053. The next prime is 165872081. The reversal of 165872070 is 70278561.

165872070 is a `hidden beast` number, since 1 + 6 + 587 + 2 + 0 + 70 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1056432 + ... + 1056588.

It is an arithmetic number, because the mean of its divisors is an integer number (2189880).

Almost surely, 2^165872070 is an apocalyptic number.

165872070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 165872070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280304640).

165872070 is an abundant number, since it is smaller than the sum of its proper divisors (394737210).

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

165872070 is a wasteful number, since it uses less digits than its factorization.

165872070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 165872070 is about 12879.1331230017. The cubic root of 165872070 is about 549.4452478052.

The spelling of 165872070 in words is "one hundred sixty-five million, eight hundred seventy-two thousand, seventy".