196359072 has 288 divisors, whose sum is σ = 683726400. Its totient is φ = 49061376.

The previous prime is 196359001. The next prime is 196359089. The reversal of 196359072 is 270953691.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10334679 + ... + 10334697.

It is an arithmetic number, because the mean of its divisors is an integer number (2374050).

Almost surely, 2^196359072 is an apocalyptic number.

196359072 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 196359072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341863200).

196359072 is an abundant number, since it is smaller than the sum of its proper divisors (487367328).

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

196359072 is a wasteful number, since it uses less digits than its factorization.

196359072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 42.

The square root of 196359072 is about 14012.8181319819. The cubic root of 196359072 is about 581.2330801411.

The spelling of 196359072 in words is "one hundred ninety-six million, three hundred fifty-nine thousand, seventy-two".