75273409600 has 147 divisors (see below), whose sum is σ = 195509612917. Its totient is φ = 28524660480.

The previous prime is 75273409553. The next prime is 75273409613. The reversal of 75273409600 is 690437257.

The square root of 75273409600 is 274360.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 27098427456 + 48174982144 = 164616^2 + 219488^2 .

It is a super-3 number, since 3×75273409600³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 3961758391 + ... + 3961758409.

Almost surely, 2^75273409600 is an apocalyptic number.

75273409600 is the 274360-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75273409600

75273409600 is an abundant number, since it is smaller than the sum of its proper divisors (120236203317).

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

75273409600 is an frugal number, since it uses more digits than its factorization.

75273409600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 43.

The spelling of 75273409600 in words is "seventy-five billion, two hundred seventy-three million, four hundred nine thousand, six hundred".