165720852 has 144 divisors (see below), whose sum is σ = 478820160. Its totient is φ = 47884800.

The previous prime is 165720833. The next prime is 165720853. The reversal of 165720852 is 258027561.

It is a happy number.

165720852 is a `hidden beast` number, since 1 + 6 + 572 + 0 + 85 + 2 = 666.

It is a super-3 number, since 3×165720852³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165720853) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 957838 + ... + 958010.

It is an arithmetic number, because the mean of its divisors is an integer number (3325140).

Almost surely, 2^165720852 is an apocalyptic number.

165720852 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 165720852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239410080).

165720852 is an abundant number, since it is smaller than the sum of its proper divisors (313099308).

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

165720852 is a wasteful number, since it uses less digits than its factorization.

165720852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 165720852 is about 12873.2611252938. The cubic root of 165720852 is about 549.2782289839.

The spelling of 165720852 in words is "one hundred sixty-five million, seven hundred twenty thousand, eight hundred fifty-two".