73228320 has 384 divisors, whose sum is σ = 296110080. Its totient is φ = 16727040.

The previous prime is 73228313. The next prime is 73228321. The reversal of 73228320 is 2382237.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73228321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1092927 + ... + 1092993.

It is an arithmetic number, because the mean of its divisors is an integer number (771120).

Almost surely, 2^73228320 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 73228320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148055040).

73228320 is an abundant number, since it is smaller than the sum of its proper divisors (222881760).

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

73228320 is a wasteful number, since it uses less digits than its factorization.

73228320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 73228320 is about 8557.3547314576. The cubic root of 73228320 is about 418.3691861288.

The spelling of 73228320 in words is "seventy-three million, two hundred twenty-eight thousand, three hundred twenty".