75350431202272 has 144 divisors (see below), whose sum is σ = 158388047516160. Its totient is φ = 35278609766400.

The previous prime is 75350431202261. The next prime is 75350431202273. The reversal of 75350431202272 is 27220213405357.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75350431202273) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7982878129 + ... + 7982887567.

It is an arithmetic number, because the mean of its divisors is an integer number (1099916996640).

Almost surely, 2^{75350431202272} 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 75350431202272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79194023758080).

75350431202272 is an abundant number, since it is smaller than the sum of its proper divisors (83037616313888).

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

75350431202272 is a wasteful number, since it uses less digits than its factorization.

75350431202272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13785 (or 13760 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 43.

The spelling of 75350431202272 in words is "seventy-five trillion, three hundred fifty billion, four hundred thirty-one million, two hundred two thousand, two hundred seventy-two".