73280832 has 56 divisors (see below), whose sum is σ = 197205600. Its totient is φ = 24009216.

The previous prime is 73280827. The next prime is 73280861. The reversal of 73280832 is 23808237.

It is a happy number.

It is a super-2 number, since 2×73280832² = 10740160677224448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 73280793 and 73280802.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 8094 + ... + 14562.

Almost surely, 2^73280832 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 73280832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98602800).

73280832 is an abundant number, since it is smaller than the sum of its proper divisors (123924768).

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

73280832 is a wasteful number, since it uses less digits than its factorization.

73280832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6543 (or 6533 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 73280832 is about 8560.4224194837. The cubic root of 73280832 is about 418.4691663613.

The spelling of 73280832 in words is "seventy-three million, two hundred eighty thousand, eight hundred thirty-two".