75556560 has 80 divisors (see below), whose sum is σ = 237109824. Its totient is φ = 19900416.

The previous prime is 75556549. The next prime is 75556561. The reversal of 75556560 is 6565557.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75556561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18024 + ... + 21816.

Almost surely, 2^75556560 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 75556560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118554912).

75556560 is an abundant number, since it is smaller than the sum of its proper divisors (161553264).

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

75556560 is a wasteful number, since it uses less digits than its factorization.

75556560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3892 (or 3886 counting only the distinct ones).

The product of its (nonzero) digits is 157500, while the sum is 39.

The square root of 75556560 is about 8692.3276514407. The cubic root of 75556560 is about 422.7569204025.

The spelling of 75556560 in words is "seventy-five million, five hundred fifty-six thousand, five hundred sixty".