73668480 has 256 divisors, whose sum is σ = 259536960. Its totient is φ = 17694720.

The previous prime is 73668479. The next prime is 73668481. The reversal of 73668480 is 8486637.

It is an interprime number because it is at equal distance from previous prime (73668479) and next prime (73668481).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73668481) 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, 1207650 + ... + 1207710.

Almost surely, 2^73668480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73668480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129768480).

73668480 is an abundant number, since it is smaller than the sum of its proper divisors (185868480).

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

73668480 is a wasteful number, since it uses less digits than its factorization.

73668480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 73668480 is about 8583.0344284524. The cubic root of 73668480 is about 419.2057552189.

The spelling of 73668480 in words is "seventy-three million, six hundred sixty-eight thousand, four hundred eighty".