83672120 has 64 divisors (see below), whose sum is σ = 216691200. Its totient is φ = 28483200.

The previous prime is 83672111. The next prime is 83672123. The reversal of 83672120 is 2127638.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83672123) 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, 41291 + ... + 43269.

It is an arithmetic number, because the mean of its divisors is an integer number (3385800).

Almost surely, 2^83672120 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 83672120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108345600).

83672120 is an abundant number, since it is smaller than the sum of its proper divisors (133019080).

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

83672120 is a wasteful number, since it uses less digits than its factorization.

83672120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2148 (or 2144 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 83672120 is about 9147.2465802557. The cubic root of 83672120 is about 437.3813468710.

Adding to 83672120 its reverse (2127638), we get a palindrome (85799758).

The spelling of 83672120 in words is "eighty-three million, six hundred seventy-two thousand, one hundred twenty".