95385672 has 36 divisors (see below), whose sum is σ = 258560835. Its totient is φ = 31767600.

The previous prime is 95385671. The next prime is 95385677. The reversal of 95385672 is 27658359.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 47692836 + 47692836 = 6906^2 + 6906^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=6906.

It is not an unprimeable number, because it can be changed into a prime (95385671) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 82297 + ... + 83447.

Almost surely, 2^95385672 is an apocalyptic number.

It is an amenable number.

95385672 is an abundant number, since it is smaller than the sum of its proper divisors (163175163).

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

95385672 is a wasteful number, since it uses less digits than its factorization.

95385672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2314 (or 1156 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 95385672 is about 9766.5588617486. The cubic root of 95385672 is about 456.9068978336.

The spelling of 95385672 in words is "ninety-five million, three hundred eighty-five thousand, six hundred seventy-two".