168729120 has 288 divisors, whose sum is σ = 693463680. Its totient is φ = 36495360.

The previous prime is 168729109. The next prime is 168729167. The reversal of 168729120 is 21927861.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 191080 + ... + 191960.

It is an arithmetic number, because the mean of its divisors is an integer number (2407860).

Almost surely, 2^168729120 is an apocalyptic number.

168729120 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 168729120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346731840).

168729120 is an abundant number, since it is smaller than the sum of its proper divisors (524734560).

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

168729120 is a wasteful number, since it uses less digits than its factorization.

168729120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 168729120 is about 12989.5773603301. The cubic root of 168729120 is about 552.5819319811.

The spelling of 168729120 in words is "one hundred sixty-eight million, seven hundred twenty-nine thousand, one hundred twenty".