75241900 has 54 divisors (see below), whose sum is σ = 172736340. Its totient is φ = 28369440.

The previous prime is 75241897. The next prime is 75241909. The reversal of 75241900 is 914257.

It is a happy number.

It is a super-2 number, since 2×75241900² = 11322687031220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (75241909) 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 17 ways as a sum of consecutive naturals, for example, 378001 + ... + 378199.

Almost surely, 2^75241900 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 75241900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86368170).

75241900 is an abundant number, since it is smaller than the sum of its proper divisors (97494440).

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

75241900 is a wasteful number, since it uses less digits than its factorization.

75241900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 75241900 is about 8674.2088976459. The cubic root of 75241900 is about 422.1692379907.

The spelling of 75241900 in words is "seventy-five million, two hundred forty-one thousand, nine hundred".