95952192 has 224 divisors, whose sum is σ = 312115200. Its totient is φ = 25966080.

The previous prime is 95952191. The next prime is 95952229. The reversal of 95952192 is 29125959.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (72900) is a multiple of the sum of its prime divisors (90).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95952191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2041513 + ... + 2041559.

Almost surely, 2^95952192 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 95952192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156057600).

95952192 is an abundant number, since it is smaller than the sum of its proper divisors (216163008).

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

95952192 is a wasteful number, since it uses less digits than its factorization.

95952192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 90 counting only the distinct ones).

The product of its digits is 72900, while the sum is 42.

The square root of 95952192 is about 9795.5189755316. The cubic root of 95952192 is about 457.8096753746.

The spelling of 95952192 in words is "ninety-five million, nine hundred fifty-two thousand, one hundred ninety-two".