73405728 has 288 divisors, whose sum is σ = 254741760. Its totient is φ = 19783680.

The previous prime is 73405679. The next prime is 73405729. The reversal of 73405728 is 82750437.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 73405692 and 73405701.

It is not an unprimeable number, because it can be changed into a prime (73405729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1561801 + ... + 1561847.

It is an arithmetic number, because the mean of its divisors is an integer number (884520).

Almost surely, 2^73405728 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 73405728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127370880).

73405728 is an abundant number, since it is smaller than the sum of its proper divisors (181336032).

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

73405728 is a wasteful number, since it uses less digits than its factorization.

73405728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 73405728 is about 8567.7142809503. The cubic root of 73405728 is about 418.7067703796.

The spelling of 73405728 in words is "seventy-three million, four hundred five thousand, seven hundred twenty-eight".