95729542272 has 576 divisors, whose sum is σ = 347411151360. Its totient is φ = 25078394880.

The previous prime is 95729542267. The next prime is 95729542303. The reversal of 95729542272 is 27224592759.

95729542272 is a `hidden beast` number, since 9 + 5 + 7 + 29 + 542 + 2 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 140160043 + ... + 140160725.

It is an arithmetic number, because the mean of its divisors is an integer number (603144360).

Almost surely, 2^95729542272 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 95729542272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173705575680).

95729542272 is an abundant number, since it is smaller than the sum of its proper divisors (251681609088).

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

95729542272 is a wasteful number, since it uses less digits than its factorization.

95729542272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 899 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 54.

The spelling of 95729542272 in words is "ninety-five billion, seven hundred twenty-nine million, five hundred forty-two thousand, two hundred seventy-two".