7525072128 has 144 divisors (see below), whose sum is σ = 22927597056. Its totient is φ = 2146375680.

The previous prime is 7525072097. The next prime is 7525072157. The reversal of 7525072128 is 8212705257.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5864575 + ... + 5865857.

It is an arithmetic number, because the mean of its divisors is an integer number (159219424).

Almost surely, 2^7525072128 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 7525072128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11463798528).

7525072128 is an abundant number, since it is smaller than the sum of its proper divisors (15402524928).

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

7525072128 is a wasteful number, since it uses less digits than its factorization.

7525072128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2400 (or 2386 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 39.

The square root of 7525072128 is about 86747.1736023716. The cubic root of 7525072128 is about 1959.6125959302.

The spelling of 7525072128 in words is "seven billion, five hundred twenty-five million, seventy-two thousand, one hundred twenty-eight".