95895072 has 144 divisors (see below), whose sum is σ = 335724480. Its totient is φ = 25284096.

The previous prime is 95895053. The next prime is 95895101. The reversal of 95895072 is 27059859.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24379 + ... + 28037.

It is an arithmetic number, because the mean of its divisors is an integer number (2331420).

Almost surely, 2^95895072 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 95895072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167862240).

95895072 is an abundant number, since it is smaller than the sum of its proper divisors (239829408).

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

95895072 is a wasteful number, since it uses less digits than its factorization.

95895072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3695 (or 3684 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The square root of 95895072 is about 9792.6029226146. The cubic root of 95895072 is about 457.7188131829.

The spelling of 95895072 in words is "ninety-five million, eight hundred ninety-five thousand, seventy-two".