83172096 has 216 divisors, whose sum is σ = 285702144. Its totient is φ = 23639040.

The previous prime is 83172053. The next prime is 83172137. The reversal of 83172096 is 69027138.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 83172096.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 435361 + ... + 435551.

Almost surely, 2^83172096 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 83172096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142851072).

83172096 is an abundant number, since it is smaller than the sum of its proper divisors (202530048).

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

83172096 is an equidigital number, since it uses as much as digits as its factorization.

83172096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 83172096 is about 9119.8736833358. The cubic root of 83172096 is about 436.5083429163.

It can be divided in two parts, 831 and 72096, that added together give a palindrome (72927).

The spelling of 83172096 in words is "eighty-three million, one hundred seventy-two thousand, ninety-six".