168672000 has 288 divisors, whose sum is σ = 642829824. Its totient is φ = 38400000.

The previous prime is 168671989. The next prime is 168672001. The reversal of 168672000 is 276861.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (168672001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 671875 + ... + 672125.

It is an arithmetic number, because the mean of its divisors is an integer number (2232048).

Almost surely, 2^168672000 is an apocalyptic number.

168672000 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 168672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321414912).

168672000 is an abundant number, since it is smaller than the sum of its proper divisors (474157824).

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

168672000 is an equidigital number, since it uses as much as digits as its factorization.

168672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 168672000 is about 12987.3784883632. The cubic root of 168672000 is about 552.5195696132.

The spelling of 168672000 in words is "one hundred sixty-eight million, six hundred seventy-two thousand".