199520772 has 144 divisors (see below), whose sum is σ = 555024960. Its totient is φ = 55531520.

The previous prime is 199520759. The next prime is 199520773. The reversal of 199520772 is 277025991.

It is not an unprimeable number, because it can be changed into a prime (199520773) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1456288 + ... + 1456424.

It is an arithmetic number, because the mean of its divisors is an integer number (3854340).

Almost surely, 2^199520772 is an apocalyptic number.

199520772 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 199520772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277512480).

199520772 is an abundant number, since it is smaller than the sum of its proper divisors (355504188).

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

199520772 is a wasteful number, since it uses less digits than its factorization.

199520772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 42.

The square root of 199520772 is about 14125.1821935152. The cubic root of 199520772 is about 584.3360836829.

The spelling of 199520772 in words is "one hundred ninety-nine million, five hundred twenty thousand, seven hundred seventy-two".