169728000 has 384 divisors, whose sum is σ = 643930560. Its totient is φ = 39321600.

The previous prime is 169727989. The next prime is 169728011. The reversal of 169728000 is 827961.

It is an interprime number because it is at equal distance from previous prime (169727989) and next prime (169728011).

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9983992 + ... + 9984008.

Almost surely, 2^169728000 is an apocalyptic number.

169728000 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 169728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321965280).

169728000 is an abundant number, since it is smaller than the sum of its proper divisors (474202560).

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

169728000 is a wasteful number, since it uses less digits than its factorization.

169728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 169728000 is about 13027.9699109263. The cubic root of 169728000 is about 553.6702195224.

The spelling of 169728000 in words is "one hundred sixty-nine million, seven hundred twenty-eight thousand".