165967872 has 192 divisors, whose sum is σ = 537788160. Its totient is φ = 44433408.

The previous prime is 165967849. The next prime is 165967891. The reversal of 165967872 is 278769561.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 731023 + ... + 731249.

It is an arithmetic number, because the mean of its divisors is an integer number (2800980).

Almost surely, 2^165967872 is an apocalyptic number.

165967872 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 165967872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268894080).

165967872 is an abundant number, since it is smaller than the sum of its proper divisors (371820288).

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

165967872 is a wasteful number, since it uses less digits than its factorization.

165967872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 256 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 51.

The square root of 165967872 is about 12882.8518581873. The cubic root of 165967872 is about 549.5510076697.

The spelling of 165967872 in words is "one hundred sixty-five million, nine hundred sixty-seven thousand, eight hundred seventy-two".