73053728 has 48 divisors (see below), whose sum is σ = 159104736. Its totient is φ = 32739840.

The previous prime is 73053691. The next prime is 73053731. The reversal of 73053728 is 82735037.

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, 24275 + ... + 27117.

It is an arithmetic number, because the mean of its divisors is an integer number (3314682).

Almost surely, 2^73053728 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 73053728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79552368).

73053728 is an abundant number, since it is smaller than the sum of its proper divisors (86051008).

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

73053728 is a wasteful number, since it uses less digits than its factorization.

73053728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2937 (or 2929 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 35.

The square root of 73053728 is about 8547.1473603770. The cubic root of 73053728 is about 418.0364276152.

The spelling of 73053728 in words is "seventy-three million, fifty-three thousand, seven hundred twenty-eight".