75349300 has 72 divisors (see below), whose sum is σ = 177723000. Its totient is φ = 27563520.

The previous prime is 75349283. The next prime is 75349327. The reversal of 75349300 is 394357.

It can be written as a sum of positive squares in 12 ways, for example, as 59043856 + 16305444 = 7684^2 + 4038^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 193506 + ... + 193894.

It is an arithmetic number, because the mean of its divisors is an integer number (2468375).

Almost surely, 2^75349300 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 75349300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88861500).

75349300 is an abundant number, since it is smaller than the sum of its proper divisors (102373700).

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

75349300 is a wasteful number, since it uses less digits than its factorization.

75349300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 31.

The square root of 75349300 is about 8680.3974563380. The cubic root of 75349300 is about 422.3700100786.

The spelling of 75349300 in words is "seventy-five million, three hundred forty-nine thousand, three hundred".