74971728 has 120 divisors (see below), whose sum is σ = 233917320. Its totient is φ = 22256640.

The previous prime is 74971723. The next prime is 74971759. The reversal of 74971728 is 82717947.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2585664 + 72386064 = 1608^2 + 8508^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74971723) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53598 + ... + 54978.

It is an arithmetic number, because the mean of its divisors is an integer number (1949311).

Almost surely, 2^74971728 is an apocalyptic number.

74971728 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 74971728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116958660).

74971728 is an abundant number, since it is smaller than the sum of its proper divisors (158945592).

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

74971728 is a wasteful number, since it uses less digits than its factorization.

74971728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1437 (or 1428 counting only the distinct ones).

The product of its digits is 197568, while the sum is 45.

The square root of 74971728 is about 8658.6215993078. The cubic root of 74971728 is about 421.6633359282.

The spelling of 74971728 in words is "seventy-four million, nine hundred seventy-one thousand, seven hundred twenty-eight".