95205792 has 96 divisors (see below), whose sum is σ = 275970240. Its totient is φ = 28497920.

The previous prime is 95205769. The next prime is 95205829. The reversal of 95205792 is 29750259.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 95205792.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93478 + ... + 94490.

It is an arithmetic number, because the mean of its divisors is an integer number (2874690).

Almost surely, 2^95205792 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 95205792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137985120).

95205792 is an abundant number, since it is smaller than the sum of its proper divisors (180764448).

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

95205792 is a wasteful number, since it uses less digits than its factorization.

95205792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 39.

The square root of 95205792 is about 9757.3455406683. The cubic root of 95205792 is about 456.6195027096.

The spelling of 95205792 in words is "ninety-five million, two hundred five thousand, seven hundred ninety-two".