7521241728 has 512 divisors, whose sum is σ = 28426567680. Its totient is φ = 1695744000.

The previous prime is 7521241709. The next prime is 7521241733. The reversal of 7521241728 is 8271421257.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6533953 + ... + 6535103.

It is an arithmetic number, because the mean of its divisors is an integer number (55520640).

Almost surely, 2^7521241728 is an apocalyptic number.

7521241728 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 7521241728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14213283840).

7521241728 is an abundant number, since it is smaller than the sum of its proper divisors (20905325952).

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

7521241728 is a wasteful number, since it uses less digits than its factorization.

7521241728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1216 (or 1204 counting only the distinct ones).

The product of its digits is 62720, while the sum is 39.

The square root of 7521241728 is about 86725.0928393853. The cubic root of 7521241728 is about 1959.2800465583.

The spelling of 7521241728 in words is "seven billion, five hundred twenty-one million, two hundred forty-one thousand, seven hundred twenty-eight".