74008000728 has 128 divisors (see below), whose sum is σ = 211043289600. Its totient is φ = 24017212800.

The previous prime is 74008000639. The next prime is 74008000747. The reversal of 74008000728 is 82700080047.

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 = 74008000692 and 74008000701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2875758 + ... + 2901378.

It is an arithmetic number, because the mean of its divisors is an integer number (1648775700).

Almost surely, 2^74008000728 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 74008000728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105521644800).

74008000728 is an abundant number, since it is smaller than the sum of its proper divisors (137035288872).

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

74008000728 is a wasteful number, since it uses less digits than its factorization.

74008000728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25990 (or 25980 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The spelling of 74008000728 in words is "seventy-four billion, eight million, seven hundred twenty-eight", and thus it is an aban number.