161728000 has 240 divisors, whose sum is σ = 486424224. Its totient is φ = 52531200.

The previous prime is 161727997. The next prime is 161728001. The reversal of 161728000 is 827161.

161728000 = T₂₄₅ + T₂₄₆ + ... + T₉₉₄.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161728001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8511991 + ... + 8512009.

Almost surely, 2^161728000 is an apocalyptic number.

161728000 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 161728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243212112).

161728000 is an abundant number, since it is smaller than the sum of its proper divisors (324696224).

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

161728000 is an frugal number, since it uses more digits than its factorization.

161728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 25.

The square root of 161728000 is about 12717.2324033179. The cubic root of 161728000 is about 544.8309101455.

The spelling of 161728000 in words is "one hundred sixty-one million, seven hundred twenty-eight thousand".