999983000072 has 192 divisors, whose sum is σ = 2351803766400. Its totient is φ = 395964979200.

The previous prime is 999983000063. The next prime is 999983000113. The reversal of 999983000072 is 270000389999.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 999982999981 and 999983000017.

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 47 ways as a sum of consecutive naturals, for example, 391995197 + ... + 391997747.

It is an arithmetic number, because the mean of its divisors is an integer number (12248977950).

Almost surely, 2^999983000072 is an apocalyptic number.

It is a pronic number, being equal to 999991×999992.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 999983000072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175901883200).

999983000072 is an abundant number, since it is smaller than the sum of its proper divisors (1351820766328).

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

999983000072 is a wasteful number, since it uses less digits than its factorization.

999983000072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3644 (or 3633 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 56.

It can be divided in two parts, 9999 and 83000072, that multiplied together give a palindrome (829917719928).

The spelling of 999983000072 in words is "nine hundred ninety-nine billion, nine hundred eighty-three million, seventy-two", and thus it is an aban number.