73988320 has 96 divisors (see below), whose sum is σ = 206309376. Its totient is φ = 24537600.

The previous prime is 73988311. The next prime is 73988333. The reversal of 73988320 is 2388937.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33655 + ... + 35785.

It is an arithmetic number, because the mean of its divisors is an integer number (2149056).

Almost surely, 2^73988320 is an apocalyptic number.

73988320 is a gapful number since it is divisible by the number (70) 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 73988320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103154688).

73988320 is an abundant number, since it is smaller than the sum of its proper divisors (132321056).

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

73988320 is a wasteful number, since it uses less digits than its factorization.

73988320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2184 (or 2176 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 73988320 is about 8601.6463540418. The cubic root of 73988320 is about 419.8115556737.

The spelling of 73988320 in words is "seventy-three million, nine hundred eighty-eight thousand, three hundred twenty".