195459072 has 96 divisors (see below), whose sum is σ = 539557200. Its totient is φ = 62849024.

The previous prime is 195459053. The next prime is 195459073. The reversal of 195459072 is 270954591.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195459073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 177628 + ... + 178724.

Almost surely, 2^195459072 is an apocalyptic number.

195459072 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 195459072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269778600).

195459072 is an abundant number, since it is smaller than the sum of its proper divisors (344098128).

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

195459072 is a wasteful number, since it uses less digits than its factorization.

195459072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 42.

The square root of 195459072 is about 13980.6677952092. The cubic root of 195459072 is about 580.3437043287.

The spelling of 195459072 in words is "one hundred ninety-five million, four hundred fifty-nine thousand, seventy-two".