75032000 has 112 divisors (see below), whose sum is σ = 189719712. Its totient is φ = 29388800.

The previous prime is 75031987. The next prime is 75032017. The reversal of 75032000 is 23057.

It is a self number, because there is not a number n which added to its sum of digits gives 75032000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 663944 + ... + 664056.

It is an arithmetic number, because the mean of its divisors is an integer number (1693926).

Almost surely, 2^75032000 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 75032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94859856).

75032000 is an abundant number, since it is smaller than the sum of its proper divisors (114687712).

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

75032000 is a wasteful number, since it uses less digits than its factorization.

75032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 17.

The square root of 75032000 is about 8662.1013616789. The cubic root of 75032000 is about 421.7763015567.

Adding to 75032000 its reverse (23057), we get a palindrome (75055057).

The spelling of 75032000 in words is "seventy-five million, thirty-two thousand".