71839980 has 96 divisors (see below), whose sum is σ = 225086400. Its totient is φ = 19021824.

The previous prime is 71839979. The next prime is 71839991. The reversal of 71839980 is 8993817.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93036 + ... + 93804.

It is an arithmetic number, because the mean of its divisors is an integer number (2344650).

Almost surely, 2^71839980 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 71839980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112543200).

71839980 is an abundant number, since it is smaller than the sum of its proper divisors (153246420).

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

71839980 is a wasteful number, since it uses less digits than its factorization.

71839980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 71839980 is about 8475.8468603438. The cubic root of 71839980 is about 415.7083369174.

The spelling of 71839980 in words is "seventy-one million, eight hundred thirty-nine thousand, nine hundred eighty".