199999072 has 96 divisors (see below), whose sum is σ = 488642112. Its totient is φ = 78465024.

The previous prime is 199999061. The next prime is 199999081. The reversal of 199999072 is 270999991.

It is a super-2 number, since 2×199999072² = 79999257601722368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 503578 + ... + 503974.

It is an arithmetic number, because the mean of its divisors is an integer number (5090022).

Almost surely, 2^199999072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199999072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244321056).

199999072 is an abundant number, since it is smaller than the sum of its proper divisors (288643040).

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

199999072 is a wasteful number, since it uses less digits than its factorization.

199999072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 826686, while the sum is 55.

The square root of 199999072 is about 14142.1028139382. The cubic root of 199999072 is about 584.8026431450.

The spelling of 199999072 in words is "one hundred ninety-nine million, nine hundred ninety-nine thousand, seventy-two".