73530288 has 80 divisors (see below), whose sum is σ = 227311840. Its totient is φ = 22622976.

The previous prime is 73530271. The next prime is 73530299. The reversal of 73530288 is 88203537.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 931 + ... + 12162.

It is an arithmetic number, because the mean of its divisors is an integer number (2841398).

Almost surely, 2^73530288 is an apocalyptic number.

73530288 is a gapful number since it is divisible by the number (78) 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 73530288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113655920).

73530288 is an abundant number, since it is smaller than the sum of its proper divisors (153781552).

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

73530288 is a wasteful number, since it uses less digits than its factorization.

73530288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13123 (or 13111 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 73530288 is about 8574.9803498317. The cubic root of 73530288 is about 418.9434669105.

The spelling of 73530288 in words is "seventy-three million, five hundred thirty thousand, two hundred eighty-eight".