95071200 has 144 divisors (see below), whose sum is σ = 353727360. Its totient is φ = 21726720.

The previous prime is 95071187. The next prime is 95071219. The reversal of 95071200 is 217059.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13971 + ... + 19629.

It is an arithmetic number, because the mean of its divisors is an integer number (2456440).

Almost surely, 2^95071200 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 95071200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176863680).

95071200 is an abundant number, since it is smaller than the sum of its proper divisors (258656160).

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

95071200 is a wasteful number, since it uses less digits than its factorization.

95071200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5689 (or 5676 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 95071200 is about 9750.4461436388. The cubic root of 95071200 is about 456.4042275874.

Adding to 95071200 its reverse (217059), we get a palindrome (95288259).

The spelling of 95071200 in words is "ninety-five million, seventy-one thousand, two hundred".