75241728 has 162 divisors, whose sum is σ = 232491714. Its totient is φ = 23396352.

The previous prime is 75241703. The next prime is 75241759. The reversal of 75241728 is 82714257.

It can be written as a sum of positive squares in 3 ways, for example, as 9437184 + 65804544 = 3072^2 + 8112^2 .

It is a super-2 number, since 2×75241728² = 11322635264851968, which contains 22 as substring.

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 = 75241692 and 75241701.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 665800 + ... + 665912.

Almost surely, 2^75241728 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 75241728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116245857).

75241728 is an abundant number, since it is smaller than the sum of its proper divisors (157249986).

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

75241728 is a wasteful number, since it uses less digits than its factorization.

75241728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 135 counting only the distinct ones).

The product of its digits is 31360, while the sum is 36.

The square root of 75241728 is about 8674.1989831915. The cubic root of 75241728 is about 422.1689163031.

The spelling of 75241728 in words is "seventy-five million, two hundred forty-one thousand, seven hundred twenty-eight".