83272224 has 96 divisors (see below), whose sum is σ = 258491520. Its totient is φ = 22966272.

The previous prime is 83272207. The next prime is 83272229. The reversal of 83272224 is 42227238.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 83272191 and 83272200.

It is not an unprimeable number, because it can be changed into a prime (83272229) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 17352 + ... + 21624.

It is an arithmetic number, because the mean of its divisors is an integer number (2692620).

Almost surely, 2^83272224 is an apocalyptic number.

83272224 is a gapful number since it is divisible by the number (84) 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 83272224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129245760).

83272224 is an abundant number, since it is smaller than the sum of its proper divisors (175219296).

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

83272224 is a wasteful number, since it uses less digits than its factorization.

83272224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4322 (or 4314 counting only the distinct ones).

The product of its digits is 10752, while the sum is 30.

The square root of 83272224 is about 9125.3615818772. The cubic root of 83272224 is about 436.6834384198.

The spelling of 83272224 in words is "eighty-three million, two hundred seventy-two thousand, two hundred twenty-four".