73312428 has 72 divisors (see below), whose sum is σ = 203911344. Its totient is φ = 20428800.

The previous prime is 73312417. The next prime is 73312439. The reversal of 73312428 is 82421337.

It is an interprime number because it is at equal distance from previous prime (73312417) and next prime (73312439).

It is a junction number, because it is equal to n+sod(n) for n = 73312395 and 73312404.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 22588 + ... + 25628.

It is an arithmetic number, because the mean of its divisors is an integer number (2832102).

Almost surely, 2^73312428 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 73312428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101955672).

73312428 is an abundant number, since it is smaller than the sum of its proper divisors (130598916).

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

73312428 is a wasteful number, since it uses less digits than its factorization.

73312428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3103 (or 3094 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 73312428 is about 8562.2676902793. The cubic root of 73312428 is about 418.5293005583.

The spelling of 73312428 in words is "seventy-three million, three hundred twelve thousand, four hundred twenty-eight".