75034560 has 112 divisors (see below), whose sum is σ = 243449856. Its totient is φ = 19571712.

The previous prime is 75034559. The next prime is 75034567. The reversal of 75034560 is 6543057.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75034567) 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, 44289 + ... + 45951.

Almost surely, 2^75034560 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 75034560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121724928).

75034560 is an abundant number, since it is smaller than the sum of its proper divisors (168415296).

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

75034560 is a wasteful number, since it uses less digits than its factorization.

75034560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1730 (or 1720 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 75034560 is about 8662.2491305665. The cubic root of 75034560 is about 421.7810983326.

The spelling of 75034560 in words is "seventy-five million, thirty-four thousand, five hundred sixty".