73309632 has 112 divisors (see below), whose sum is σ = 214286592. Its totient is φ = 21934080.

The previous prime is 73309631. The next prime is 73309669. The reversal of 73309632 is 23690337.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 73309593 and 73309602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73309631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217368 + ... + 217704.

Almost surely, 2^73309632 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 73309632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107143296).

73309632 is an abundant number, since it is smaller than the sum of its proper divisors (140976960).

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

73309632 is a wasteful number, since it uses less digits than its factorization.

73309632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 33.

The square root of 73309632 is about 8562.1044142197. The cubic root of 73309632 is about 418.5239798469.

Adding to 73309632 its reverse (23690337), we get a palindrome (96999969).

The spelling of 73309632 in words is "seventy-three million, three hundred nine thousand, six hundred thirty-two".