95791872 has 288 divisors, whose sum is σ = 317882880. Its totient is φ = 25231360.

The previous prime is 95791819. The next prime is 95791873. The reversal of 95791872 is 27819759.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95791873) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3303154 + ... + 3303182.

It is an arithmetic number, because the mean of its divisors is an integer number (1103760).

Almost surely, 2^95791872 is an apocalyptic number.

95791872 is a gapful number since it is divisible by the number (92) 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 95791872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158941440).

95791872 is an abundant number, since it is smaller than the sum of its proper divisors (222091008).

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

95791872 is a wasteful number, since it uses less digits than its factorization.

95791872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 85 counting only the distinct ones).

The product of its digits is 317520, while the sum is 48.

The square root of 95791872 is about 9787.3322207842. The cubic root of 95791872 is about 457.5545588730.

It can be divided in two parts, 957 and 91872, that added together give a palindrome (92829).

The spelling of 95791872 in words is "ninety-five million, seven hundred ninety-one thousand, eight hundred seventy-two".