95752080 has 60 divisors (see below), whose sum is σ = 321569820. Its totient is φ = 25533696.

The previous prime is 95752061. The next prime is 95752081. The reversal of 95752080 is 8025759.

95752080 is a `hidden beast` number, since 9 + 57 + 520 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16257024 + 79495056 = 4032^2 + 8916^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (95752081) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 65775 + ... + 67214.

It is an arithmetic number, because the mean of its divisors is an integer number (5359497).

Almost surely, 2^95752080 is an apocalyptic number.

95752080 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

95752080 is an abundant number, since it is smaller than the sum of its proper divisors (225817740).

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

95752080 is a wasteful number, since it uses less digits than its factorization.

95752080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133008 (or 132999 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 95752080 is about 9785.2991778484. The cubic root of 95752080 is about 457.4911939539.

The spelling of 95752080 in words is "ninety-five million, seven hundred fifty-two thousand, eighty".