165952720 has 40 divisors (see below), whose sum is σ = 389466144. Its totient is φ = 65757312.

The previous prime is 165952711. The next prime is 165952729. The reversal of 165952720 is 27259561.

It is an interprime number because it is at equal distance from previous prime (165952711) and next prime (165952729).

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 165952720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165952729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1134 + ... + 18253.

Almost surely, 2^165952720 is an apocalyptic number.

165952720 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 165952720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194733072).

165952720 is an abundant number, since it is smaller than the sum of its proper divisors (223513424).

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

165952720 is a wasteful number, since it uses less digits than its factorization.

165952720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19507 (or 19501 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 37.

The square root of 165952720 is about 12882.2637762157. The cubic root of 165952720 is about 549.5342834483.

The spelling of 165952720 in words is "one hundred sixty-five million, nine hundred fifty-two thousand, seven hundred twenty".