71884040 has 64 divisors (see below), whose sum is σ = 172800000. Its totient is φ = 26853120.

The previous prime is 71884027. The next prime is 71884051. The reversal of 71884040 is 4048817.

It is a junction number, because it is equal to n+sod(n) for n = 71883988 and 71884006.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34961 + ... + 36959.

It is an arithmetic number, because the mean of its divisors is an integer number (2700000).

Almost surely, 2^71884040 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 71884040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86400000).

71884040 is an abundant number, since it is smaller than the sum of its proper divisors (100915960).

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

71884040 is a wasteful number, since it uses less digits than its factorization.

71884040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2070 (or 2066 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 32.

The square root of 71884040 is about 8478.4456122570. The cubic root of 71884040 is about 415.7933052323.

The spelling of 71884040 in words is "seventy-one million, eight hundred eighty-four thousand, forty".