95743872 has 192 divisors, whose sum is σ = 325877760. Its totient is φ = 26403840.

The previous prime is 95743853. The next prime is 95743889. The reversal of 95743872 is 27834759.

95743872 is a `hidden beast` number, since 9 + 574 + 3 + 8 + 72 = 666.

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

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (423360) is a multiple of the sum of its prime factors (441).

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, 249793 + ... + 250175.

It is an arithmetic number, because the mean of its divisors is an integer number (1697280).

Almost surely, 2^95743872 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 95743872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162938880).

95743872 is an abundant number, since it is smaller than the sum of its proper divisors (230133888).

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

95743872 is a wasteful number, since it uses less digits than its factorization.

95743872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 426 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 95743872 is about 9784.8797642076. The cubic root of 95743872 is about 457.4781213223.

The spelling of 95743872 in words is "ninety-five million, seven hundred forty-three thousand, eight hundred seventy-two".