67248000 has 192 divisors, whose sum is σ = 242021520. Its totient is φ = 17894400.

The previous prime is 67247993. The next prime is 67248017. The reversal of 67248000 is 84276.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143767 + ... + 144233.

Almost surely, 2^67248000 is an apocalyptic number.

67248000 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 67248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121010760).

67248000 is an abundant number, since it is smaller than the sum of its proper divisors (174773520).

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

67248000 is a wasteful number, since it uses less digits than its factorization.

67248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 67248000 is about 8200.4877903695. The cubic root of 67248000 is about 406.6553193406.

The spelling of 67248000 in words is "sixty-seven million, two hundred forty-eight thousand".