75534895872 has 144 divisors (see below), whose sum is σ = 223695360000. Its totient is φ = 25141625856.

The previous prime is 75534895729. The next prime is 75534895937. The reversal of 75534895872 is 27859843557.

75534895872 is a `hidden beast` number, since 7 + 5 + 5 + 3 + 48 + 9 + 587 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4962129 + ... + 4977327.

It is an arithmetic number, because the mean of its divisors is an integer number (1553440000).

Almost surely, 2^75534895872 is an apocalyptic number.

75534895872 is a gapful number since it is divisible by the number (72) 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 75534895872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111847680000).

75534895872 is an abundant number, since it is smaller than the sum of its proper divisors (148160464128).

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

75534895872 is a wasteful number, since it uses less digits than its factorization.

75534895872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15943 (or 15923 counting only the distinct ones).

The product of its digits is 84672000, while the sum is 63.

The spelling of 75534895872 in words is "seventy-five billion, five hundred thirty-four million, eight hundred ninety-five thousand, eight hundred seventy-two".