67200480 has 144 divisors (see below), whose sum is σ = 239410080. Its totient is φ = 17132544.

The previous prime is 67200461. The next prime is 67200493. The reversal of 67200480 is 8400276.

It is a tau number, because it is divible by the number of its divisors (144).

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, 32106 + ... + 34134.

It is an arithmetic number, because the mean of its divisors is an integer number (1662570).

Almost surely, 2^67200480 is an apocalyptic number.

67200480 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 67200480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119705040).

67200480 is an abundant number, since it is smaller than the sum of its proper divisors (172209600).

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

67200480 is a wasteful number, since it uses less digits than its factorization.

67200480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2073 (or 2062 counting only the distinct ones).

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

The square root of 67200480 is about 8197.5898897176. The cubic root of 67200480 is about 406.5595107202.

The spelling of 67200480 in words is "sixty-seven million, two hundred thousand, four hundred eighty".