73300032 has 168 divisors, whose sum is σ = 234269280. Its totient is φ = 22464000.

The previous prime is 73300021. The next prime is 73300037. The reversal of 73300032 is 23000337.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 73299978 and 73300014.

It is not an unprimeable number, because it can be changed into a prime (73300037) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 291907 + ... + 292157.

It is an arithmetic number, because the mean of its divisors is an integer number (1394460).

Almost surely, 2^73300032 is an apocalyptic number.

73300032 is a gapful number since it is divisible by the number (72) 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 73300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117134640).

73300032 is an abundant number, since it is smaller than the sum of its proper divisors (160969248).

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

73300032 is a wasteful number, since it uses less digits than its factorization.

73300032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 18.

The square root of 73300032 is about 8561.5437860236. The cubic root of 73300032 is about 418.5057102804.

Adding to 73300032 its reverse (23000337), we get a palindrome (96300369).

The spelling of 73300032 in words is "seventy-three million, three hundred thousand, thirty-two".