74131001728 has 64 divisors (see below), whose sum is σ = 169031095200. Its totient is φ = 31723241472.

The previous prime is 74131001647. The next prime is 74131001743. The reversal of 74131001728 is 82710013147.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 74131001693 and 74131001702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 545488 + ... + 667696.

Almost surely, 2^74131001728 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 74131001728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84515547600).

74131001728 is an abundant number, since it is smaller than the sum of its proper divisors (94900093472).

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

74131001728 is a wasteful number, since it uses less digits than its factorization.

74131001728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122907 (or 122895 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 34.

The spelling of 74131001728 in words is "seventy-four billion, one hundred thirty-one million, one thousand, seven hundred twenty-eight".