75555648 has 126 divisors (see below), whose sum is σ = 252018546. Its totient is φ = 21579264.

The previous prime is 75555631. The next prime is 75555653. The reversal of 75555648 is 84655557.

75555648 is a `hidden beast` number, since 7 + 55 + 556 + 48 = 666.

It can be written as a sum of positive squares in only one way, i.e., 42928704 + 32626944 = 6552^2 + 5712^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is a congruent number.

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, 26886 + ... + 29562.

Almost surely, 2^75555648 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 75555648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126009273).

75555648 is an abundant number, since it is smaller than the sum of its proper divisors (176462898).

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

75555648 is a wasteful number, since it uses less digits than its factorization.

75555648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2709 (or 2689 counting only the distinct ones).

The product of its digits is 840000, while the sum is 45.

The square root of 75555648 is about 8692.2751912258. The cubic root of 75555648 is about 422.7552194433.

Subtracting 75555648 from its reverse (84655557), we obtain a palindrome (9099909).

It can be divided in two parts, 7555 and 5648, that added together give a triangular number (13203 = T₁₆₂).

The spelling of 75555648 in words is "seventy-five million, five hundred fifty-five thousand, six hundred forty-eight".