71320338 has 160 divisors (see below), whose sum is σ = 188179200. Its totient is φ = 20030976.

The previous prime is 71320313. The next prime is 71320339. The reversal of 71320338 is 83302317.

71320338 is a `hidden beast` number, since 7 + 1 + 320 + 338 = 666.

It is a super-2 number, since 2×71320338² = 10173181224868488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (71320339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1517431 + ... + 1517477.

It is an arithmetic number, because the mean of its divisors is an integer number (1176120).

Almost surely, 2^71320338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71320338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94089600).

71320338 is an abundant number, since it is smaller than the sum of its proper divisors (116858862).

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

71320338 is a wasteful number, since it uses less digits than its factorization.

71320338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 71320338 is about 8445.1369438275. The cubic root of 71320338 is about 414.7035924780.

The spelling of 71320338 in words is "seventy-one million, three hundred twenty thousand, three hundred thirty-eight".