194589072 has 120 divisors (see below), whose sum is σ = 596714040. Its totient is φ = 58920960.

The previous prime is 194589049. The next prime is 194589091. The reversal of 194589072 is 270985491.

It can be written as a sum of positive squares in 4 ways, for example, as 36433296 + 158155776 = 6036^2 + 12576^2 .

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, 69622 + ... + 72362.

It is an arithmetic number, because the mean of its divisors is an integer number (4972617).

Almost surely, 2^194589072 is an apocalyptic number.

194589072 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 194589072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298357020).

194589072 is an abundant number, since it is smaller than the sum of its proper divisors (402124968).

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

194589072 is a wasteful number, since it uses less digits than its factorization.

194589072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2801 (or 2792 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 194589072 is about 13949.5187013746. The cubic root of 194589072 is about 579.4813754749.

The spelling of 194589072 in words is "one hundred ninety-four million, five hundred eighty-nine thousand, seventy-two".