73312928 has 96 divisors (see below), whose sum is σ = 165110400. Its totient is φ = 31804416.

The previous prime is 73312927. The next prime is 73312933. The reversal of 73312928 is 82921337.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (73312927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 711725 + ... + 711827.

It is an arithmetic number, because the mean of its divisors is an integer number (1719900).

Almost surely, 2^73312928 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 73312928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82555200).

73312928 is an abundant number, since it is smaller than the sum of its proper divisors (91797472).

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

73312928 is a wasteful number, since it uses less digits than its factorization.

73312928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 206 counting only the distinct ones).

The product of its digits is 18144, while the sum is 35.

The square root of 73312928 is about 8562.2968881019. The cubic root of 73312928 is about 418.5302520303.

The spelling of 73312928 in words is "seventy-three million, three hundred twelve thousand, nine hundred twenty-eight".