74035728 has 80 divisors (see below), whose sum is σ = 228874240. Its totient is φ = 22778496.

The previous prime is 74035693. The next prime is 74035739. The reversal of 74035728 is 82753047.

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 = 74035692 and 74035701.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 976 + ... + 12207.

It is an arithmetic number, because the mean of its divisors is an integer number (2860928).

Almost surely, 2^74035728 is an apocalyptic number.

74035728 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74035728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114437120).

74035728 is an abundant number, since it is smaller than the sum of its proper divisors (154838512).

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

74035728 is a wasteful number, since it uses less digits than its factorization.

74035728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13213 (or 13201 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 74035728 is about 8604.4016642646. The cubic root of 74035728 is about 419.9012012507.

It can be divided in two parts, 7403 and 5728, that added together give a palindrome (13131).

The spelling of 74035728 in words is "seventy-four million, thirty-five thousand, seven hundred twenty-eight".