83322372 has 192 divisors, whose sum is σ = 257402880. Its totient is φ = 20404224.

The previous prime is 83322361. The next prime is 83322377. The reversal of 83322372 is 27322338.

Its product of digits (12096) is a multiple of the sum of its prime divisors (168).

It is not an unprimeable number, because it can be changed into a prime (83322377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1003843 + ... + 1003925.

It is an arithmetic number, because the mean of its divisors is an integer number (1340640).

Almost surely, 2^83322372 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 83322372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128701440).

83322372 is an abundant number, since it is smaller than the sum of its proper divisors (174080508).

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

83322372 is a wasteful number, since it uses less digits than its factorization.

83322372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 168 counting only the distinct ones).

The product of its digits is 12096, while the sum is 30.

The square root of 83322372 is about 9128.1088950560. The cubic root of 83322372 is about 436.7710803151.

The spelling of 83322372 in words is "eighty-three million, three hundred twenty-two thousand, three hundred seventy-two".