95772384 has 72 divisors (see below), whose sum is σ = 281768760. Its totient is φ = 30820608.

The previous prime is 95772377. The next prime is 95772401. The reversal of 95772384 is 48327759.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2619 + ... + 14085.

It is an arithmetic number, because the mean of its divisors is an integer number (3913455).

Almost surely, 2^95772384 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 95772384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140884380).

95772384 is an abundant number, since it is smaller than the sum of its proper divisors (185996376).

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

95772384 is a wasteful number, since it uses less digits than its factorization.

95772384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11512 (or 11501 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 95772384 is about 9786.3365975221. The cubic root of 95772384 is about 457.5235283071.

The spelling of 95772384 in words is "ninety-five million, seven hundred seventy-two thousand, three hundred eighty-four".