83372520 has 192 divisors, whose sum is σ = 317649600. Its totient is φ = 17310720.

The previous prime is 83372519. The next prime is 83372561. The reversal of 83372520 is 2527338.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 64036 + ... + 65324.

It is an arithmetic number, because the mean of its divisors is an integer number (1654425).

Almost surely, 2^83372520 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 83372520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158824800).

83372520 is an abundant number, since it is smaller than the sum of its proper divisors (234277080).

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

83372520 is a wasteful number, since it uses less digits than its factorization.

83372520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 83372520 is about 9130.8553816168. The cubic root of 83372520 is about 436.8586870522.

Adding to 83372520 its reverse (2527338), we get a palindrome (85899858).

The spelling of 83372520 in words is "eighty-three million, three hundred seventy-two thousand, five hundred twenty".