95878272 has 128 divisors (see below), whose sum is σ = 296991360. Its totient is φ = 26836992.

The previous prime is 95878247. The next prime is 95878291. The reversal of 95878272 is 27287859.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142128 + ... + 142800.

It is an arithmetic number, because the mean of its divisors is an integer number (2320245).

Almost surely, 2^95878272 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 95878272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148495680).

95878272 is an abundant number, since it is smaller than the sum of its proper divisors (201113088).

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

95878272 is a wasteful number, since it uses less digits than its factorization.

95878272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 738 counting only the distinct ones).

The product of its digits is 564480, while the sum is 48.

The square root of 95878272 is about 9791.7450947214. The cubic root of 95878272 is about 457.6920821424.

The spelling of 95878272 in words is "ninety-five million, eight hundred seventy-eight thousand, two hundred seventy-two".