83872040 has 64 divisors (see below), whose sum is σ = 219369600. Its totient is φ = 28263168.

The previous prime is 83872027. The next prime is 83872049. The reversal of 83872040 is 4027838.

It is a junction number, because it is equal to n+sod(n) for n = 83871988 and 83872006.

It is not an unprimeable number, because it can be changed into a prime (83872049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13982 + ... + 19058.

It is an arithmetic number, because the mean of its divisors is an integer number (3427650).

Almost surely, 2^83872040 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 83872040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109684800).

83872040 is an abundant number, since it is smaller than the sum of its proper divisors (135497560).

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

83872040 is a wasteful number, since it uses less digits than its factorization.

83872040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5154 (or 5150 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 83872040 is about 9158.1679390586. The cubic root of 83872040 is about 437.7294187227.

Adding to 83872040 its reverse (4027838), we get a palindrome (87899878).

The spelling of 83872040 in words is "eighty-three million, eight hundred seventy-two thousand, forty".