1992072852 has 540 divisors, whose sum is σ = 7165955412. Its totient is φ = 479001600.

The previous prime is 1992072829. The next prime is 1992072871. The reversal of 1992072852 is 2582702991.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 693479556 + 1298593296 = 26334^2 + 36036^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1992072798 and 1992072807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 32656902 + ... + 32656962.

Almost surely, 2^1992072852 is an apocalyptic number.

1992072852 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 1992072852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3582977706).

1992072852 is an abundant number, since it is smaller than the sum of its proper divisors (5173882560).

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

1992072852 is a wasteful number, since it uses less digits than its factorization.

1992072852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 101 counting only the distinct ones).

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

The square root of 1992072852 is about 44632.6433454260. The cubic root of 1992072852 is about 1258.2542490167.

The spelling of 1992072852 in words is "one billion, nine hundred ninety-two million, seventy-two thousand, eight hundred fifty-two".