73656480 has 96 divisors (see below), whose sum is σ = 233622144. Its totient is φ = 19506176.

The previous prime is 73656449. The next prime is 73656509. The reversal of 73656480 is 8465637.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×73656480³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82597 + ... + 83483.

It is an arithmetic number, because the mean of its divisors is an integer number (2433564).

Almost surely, 2^73656480 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 73656480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116811072).

73656480 is an abundant number, since it is smaller than the sum of its proper divisors (159965664).

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

73656480 is a wasteful number, since it uses less digits than its factorization.

73656480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 73656480 is about 8582.3353465126. The cubic root of 73656480 is about 419.1829922397.

The spelling of 73656480 in words is "seventy-three million, six hundred fifty-six thousand, four hundred eighty".