165605472 has 168 divisors, whose sum is σ = 506802240. Its totient is φ = 53187840.

The previous prime is 165605471. The next prime is 165605477. The reversal of 165605472 is 274506561.

It is a happy number.

165605472 is a `hidden beast` number, since 1 + 6 + 5 + 605 + 47 + 2 = 666.

165605472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (165605471) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 723054 + ... + 723282.

It is an arithmetic number, because the mean of its divisors is an integer number (3016680).

Almost surely, 2^165605472 is an apocalyptic number.

165605472 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 165605472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253401120).

165605472 is an abundant number, since it is smaller than the sum of its proper divisors (341196768).

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

165605472 is an equidigital number, since it uses as much as digits as its factorization.

165605472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 165605472 is about 12868.7789630563. The cubic root of 165605472 is about 549.1507245389.

The spelling of 165605472 in words is "one hundred sixty-five million, six hundred five thousand, four hundred seventy-two".