74101728 has 96 divisors (see below), whose sum is σ = 206236800. Its totient is φ = 23256576.

The previous prime is 74101721. The next prime is 74101739. The reversal of 74101728 is 82710147.

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

It is a junction number, because it is equal to n+sod(n) for n = 74101695 and 74101704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74101721) by changing a digit.

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, 119403 + ... + 120021.

It is an arithmetic number, because the mean of its divisors is an integer number (2148300).

Almost surely, 2^74101728 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 74101728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103118400).

74101728 is an abundant number, since it is smaller than the sum of its proper divisors (132135072).

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

74101728 is a wasteful number, since it uses less digits than its factorization.

74101728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 30.

The square root of 74101728 is about 8608.2360562429. The cubic root of 74101728 is about 420.0259394410.

The spelling of 74101728 in words is "seventy-four million, one hundred one thousand, seven hundred twenty-eight".