71884820 has 48 divisors (see below), whose sum is σ = 176550528. Its totient is φ = 24071040.

The previous prime is 71884811. The next prime is 71884829. The reversal of 71884820 is 2848817.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (71884811) and next prime (71884829).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71884829) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50 + ... + 11990.

It is an arithmetic number, because the mean of its divisors is an integer number (3678136).

Almost surely, 2^71884820 is an apocalyptic number.

71884820 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 71884820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88275264).

71884820 is an abundant number, since it is smaller than the sum of its proper divisors (104665708).

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

71884820 is a wasteful number, since it uses less digits than its factorization.

71884820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12000 (or 11998 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 38.

The square root of 71884820 is about 8478.4916111299. The cubic root of 71884820 is about 415.7948091248.

The spelling of 71884820 in words is "seventy-one million, eight hundred eighty-four thousand, eight hundred twenty".