67872000 has 288 divisors, whose sum is σ = 260193024. Its totient is φ = 15360000.

The previous prime is 67871963. The next prime is 67872001. The reversal of 67872000 is 27876.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67872001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 671950 + ... + 672050.

It is an arithmetic number, because the mean of its divisors is an integer number (903448).

Almost surely, 2^67872000 is an apocalyptic number.

67872000 is a gapful number since it is divisible by the number (60) 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 67872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130096512).

67872000 is an abundant number, since it is smaller than the sum of its proper divisors (192321024).

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

67872000 is a wasteful number, since it uses less digits than its factorization.

67872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 67872000 is about 8238.4464554915. The cubic root of 67872000 is about 407.9092454813.

Adding to 67872000 its reverse (27876), we get a palindrome (67899876).

The spelling of 67872000 in words is "sixty-seven million, eight hundred seventy-two thousand".