67972800 has 378 divisors, whose sum is σ = 275574252. Its totient is φ = 14622720.

The previous prime is 67972787. The next prime is 67972829. The reversal of 67972800 is 827976.

It is a zygodrome in base 5.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 3998392 + ... + 3998408.

Almost surely, 2^67972800 is an apocalyptic number.

67972800 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 67972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137787126).

67972800 is an abundant number, since it is smaller than the sum of its proper divisors (207601452).

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

67972800 is a wasteful number, since it uses less digits than its factorization.

67972800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 67972800 is about 8244.5618440279. The cubic root of 67972800 is about 408.1110808658. Note that the first 3 decimals are identical.

The spelling of 67972800 in words is "sixty-seven million, nine hundred seventy-two thousand, eight hundred".