75013900 has 72 divisors (see below), whose sum is σ = 184588880. Its totient is φ = 26231040.

The previous prime is 75013859. The next prime is 75013903. The reversal of 75013900 is 931057.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (75013903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23182 + ... + 26218.

Almost surely, 2^75013900 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 75013900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92294440).

75013900 is an abundant number, since it is smaller than the sum of its proper divisors (109574980).

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

75013900 is a wasteful number, since it uses less digits than its factorization.

75013900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3083 (or 3076 counting only the distinct ones).

The product of its (nonzero) digits is 945, while the sum is 25.

The square root of 75013900 is about 8661.0565175387. The cubic root of 75013900 is about 421.7423837394.

Adding to 75013900 its reverse (931057), we get a palindrome (75944957).

The spelling of 75013900 in words is "seventy-five million, thirteen thousand, nine hundred".