75561600 has 192 divisors, whose sum is σ = 264090240. Its totient is φ = 18923520.

The previous prime is 75561593. The next prime is 75561637. The reversal of 75561600 is 616557.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162969 + ... + 163431.

It is an arithmetic number, because the mean of its divisors is an integer number (1375470).

Almost surely, 2^75561600 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 75561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132045120).

75561600 is an abundant number, since it is smaller than the sum of its proper divisors (188528640).

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

75561600 is a wasteful number, since it uses less digits than its factorization.

75561600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 75561600 is about 8692.6175574449. The cubic root of 75561600 is about 422.7663201930.

The spelling of 75561600 in words is "seventy-five million, five hundred sixty-one thousand, six hundred".