75072300 has 72 divisors (see below), whose sum is σ = 224725200. Its totient is φ = 19326720.

The previous prime is 75072269. The next prime is 75072307. The reversal of 75072300 is 327057.

It is not an unprimeable number, because it can be changed into a prime (75072307) 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, 4386 + ... + 13014.

Almost surely, 2^75072300 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 75072300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112362600).

75072300 is an abundant number, since it is smaller than the sum of its proper divisors (149652900).

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

75072300 is a wasteful number, since it uses less digits than its factorization.

75072300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8675 (or 8668 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 24.

The square root of 75072300 is about 8664.4272747828. The cubic root of 75072300 is about 421.8518006447.

Adding to 75072300 its reverse (327057), we get a palindrome (75399357).

The spelling of 75072300 in words is "seventy-five million, seventy-two thousand, three hundred".