73428096 has 128 divisors (see below), whose sum is σ = 227174400. Its totient is φ = 20579328.

The previous prime is 73428073. The next prime is 73428107. The reversal of 73428096 is 69082437.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158361 + ... + 158823.

It is an arithmetic number, because the mean of its divisors is an integer number (1774800).

Almost surely, 2^73428096 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 73428096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113587200).

73428096 is an abundant number, since it is smaller than the sum of its proper divisors (153746304).

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

73428096 is a wasteful number, since it uses less digits than its factorization.

73428096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 73428096 is about 8569.0195471827. The cubic root of 73428096 is about 418.7492951351.

The spelling of 73428096 in words is "seventy-three million, four hundred twenty-eight thousand, ninety-six".