196587072 has 336 divisors, whose sum is σ = 684702720. Its totient is φ = 53222400.

The previous prime is 196587047. The next prime is 196587101. The reversal of 196587072 is 270785691.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2768797 + ... + 2768867.

Almost surely, 2^196587072 is an apocalyptic number.

196587072 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 196587072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342351360).

196587072 is an abundant number, since it is smaller than the sum of its proper divisors (488115648).

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

196587072 is a wasteful number, since it uses less digits than its factorization.

196587072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 196587072 is about 14020.9511802873. The cubic root of 196587072 is about 581.4579570841.

The spelling of 196587072 in words is "one hundred ninety-six million, five hundred eighty-seven thousand, seventy-two".