71382920 has 128 divisors (see below), whose sum is σ = 194400000. Its totient is φ = 23073792.

The previous prime is 71382911. The next prime is 71382929. The reversal of 71382920 is 2928317.

It is an interprime number because it is at equal distance from previous prime (71382911) and next prime (71382929).

It is not an unprimeable number, because it can be changed into a prime (71382929) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 479006 + ... + 479154.

It is an arithmetic number, because the mean of its divisors is an integer number (1518750).

Almost surely, 2^71382920 is an apocalyptic number.

71382920 is a gapful number since it is divisible by the number (70) 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 71382920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97200000).

71382920 is an abundant number, since it is smaller than the sum of its proper divisors (123017080).

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

71382920 is a wasteful number, since it uses less digits than its factorization.

71382920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 71382920 is about 8448.8413406810. The cubic root of 71382920 is about 414.8248547228.

The spelling of 71382920 in words is "seventy-one million, three hundred eighty-two thousand, nine hundred twenty".