73717728 has 96 divisors (see below), whose sum is σ = 222840576. Its totient is φ = 20901888.

The previous prime is 73717711. The next prime is 73717741. The reversal of 73717728 is 82771737.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 73717728.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 109200 + ... + 109872.

It is an arithmetic number, because the mean of its divisors is an integer number (2321256).

Almost surely, 2^73717728 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 73717728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111420288).

73717728 is an abundant number, since it is smaller than the sum of its proper divisors (149122848).

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

73717728 is a wasteful number, since it uses less digits than its factorization.

73717728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 848 counting only the distinct ones).

The product of its digits is 115248, while the sum is 42.

The square root of 73717728 is about 8585.9028645798. The cubic root of 73717728 is about 419.2991486045.

The spelling of 73717728 in words is "seventy-three million, seven hundred seventeen thousand, seven hundred twenty-eight".