75032568 has 96 divisors (see below), whose sum is σ = 227026800. Its totient is φ = 23079168.

The previous prime is 75032527. The next prime is 75032569. The reversal of 75032568 is 86523057.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75032569) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23788 + ... + 26756.

Almost surely, 2^75032568 is an apocalyptic number.

75032568 is a gapful number since it is divisible by the number (78) 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 75032568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113513400).

75032568 is an abundant number, since it is smaller than the sum of its proper divisors (151994232).

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

75032568 is a wasteful number, since it uses less digits than its factorization.

75032568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3003 (or 2987 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 75032568 is about 8662.1341481185. The cubic root of 75032568 is about 421.7773658508. Note that the first 3 decimals are identical.

The spelling of 75032568 in words is "seventy-five million, thirty-two thousand, five hundred sixty-eight".