75348900 has 288 divisors, whose sum is σ = 274982400. Its totient is φ = 17539200.

The previous prime is 75348899. The next prime is 75348907. The reversal of 75348900 is 984357.

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

It is not an unprimeable number, because it can be changed into a prime (75348907) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1277071 + ... + 1277129.

It is an arithmetic number, because the mean of its divisors is an integer number (954800).

Almost surely, 2^75348900 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 75348900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137491200).

75348900 is an abundant number, since it is smaller than the sum of its proper divisors (199633500).

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

75348900 is a wasteful number, since it uses less digits than its factorization.

75348900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 75348900 is about 8680.3744158878. The cubic root of 75348900 is about 422.3692626781.

The spelling of 75348900 in words is "seventy-five million, three hundred forty-eight thousand, nine hundred".