73807328 has 72 divisors (see below), whose sum is σ = 171046512. Its totient is φ = 31256064.

The previous prime is 73807313. The next prime is 73807351. The reversal of 73807328 is 82370837.

It is a junction number, because it is equal to n+sod(n) for n = 73807291 and 73807300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 161276 + ... + 161732.

It is an arithmetic number, because the mean of its divisors is an integer number (2375646).

Almost surely, 2^73807328 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 73807328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85523256).

73807328 is an abundant number, since it is smaller than the sum of its proper divisors (97239184).

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

73807328 is a wasteful number, since it uses less digits than its factorization.

73807328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 38.

The square root of 73807328 is about 8591.1191354794. The cubic root of 73807328 is about 419.4689584719.

The spelling of 73807328 in words is "seventy-three million, eight hundred seven thousand, three hundred twenty-eight".