75096560 has 160 divisors (see below), whose sum is σ = 221985792. Its totient is φ = 22947840.

The previous prime is 75096529. The next prime is 75096563. The reversal of 75096560 is 6569057.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75096563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 449597 + ... + 449763.

Almost surely, 2^75096560 is an apocalyptic number.

75096560 is a gapful number since it is divisible by the number (70) 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 75096560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110992896).

75096560 is an abundant number, since it is smaller than the sum of its proper divisors (146889232).

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

75096560 is a wasteful number, since it uses less digits than its factorization.

75096560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 38.

The square root of 75096560 is about 8665.8271388252. The cubic root of 75096560 is about 421.8972369440.

The spelling of 75096560 in words is "seventy-five million, ninety-six thousand, five hundred sixty".