75128072544 has 288 divisors, whose sum is σ = 246868667136. Its totient is φ = 21229102080.

The previous prime is 75128072531. The next prime is 75128072549. The reversal of 75128072544 is 44527082157.

75128072544 is a `hidden beast` number, since 7 + 512 + 80 + 7 + 2 + 54 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 75128072544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75128072549) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82830939 + ... + 82831845.

It is an arithmetic number, because the mean of its divisors is an integer number (857182872).

Almost surely, 2^75128072544 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 75128072544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123434333568).

75128072544 is an abundant number, since it is smaller than the sum of its proper divisors (171740594592).

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

75128072544 is a wasteful number, since it uses less digits than its factorization.

75128072544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 1327 counting only the distinct ones).

The product of its (nonzero) digits is 627200, while the sum is 45.

The spelling of 75128072544 in words is "seventy-five billion, one hundred twenty-eight million, seventy-two thousand, five hundred forty-four".