195072 has 40 divisors (see below), whose sum is σ = 523776. Its totient is φ = 64512.
The previous prime is 195071. The next prime is 195077. The reversal of 195072 is 270591.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 195072.
It is not an unprimeable number, because it can be changed into a prime (195071) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1473 + ... + 1599.
2195072 is an apocalyptic number.
195072 is a gapful number since it is divisible by the number (12) 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 195072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261888).
195072 is an abundant number, since it is smaller than the sum of its proper divisors (328704).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
195072 is an equidigital number, since it uses as much as digits as its factorization.
195072 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 148 (or 132 counting only the distinct ones).
The product of its (nonzero) digits is 630, while the sum is 24.
The square root of 195072 is about 441.6695597390. The cubic root of 195072 is about 57.9960361936.
195072 divided by its sum of digits (24) gives a triangular number (8128 = T127).
The spelling of 195072 in words is "one hundred ninety-five thousand, seventy-two".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.065 sec. • engine limits •