95256576 has 192 divisors, whose sum is σ = 306703800. Its totient is φ = 28311552.

The previous prime is 95256569. The next prime is 95256587. The reversal of 95256576 is 67565259.

It is a tau number, because it is divible by the number of its divisors (192).

Its product of digits (567000) is a multiple of the sum of its prime factors (72).

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

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, 5013495 + ... + 5013513.

Almost surely, 2^95256576 is an apocalyptic number.

95256576 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95256576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153351900).

95256576 is an abundant number, since it is smaller than the sum of its proper divisors (211447224).

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

95256576 is a wasteful number, since it uses less digits than its factorization.

95256576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 41 counting only the distinct ones).

The product of its digits is 567000, while the sum is 45.

The square root of 95256576 is about 9759.9475408426. The cubic root of 95256576 is about 456.7006771930.

The spelling of 95256576 in words is "ninety-five million, two hundred fifty-six thousand, five hundred seventy-six".