71285040 has 120 divisors (see below), whose sum is σ = 241161648. Its totient is φ = 18869760.

The previous prime is 71285023. The next prime is 71285047. The reversal of 71285040 is 4058217.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 71284995 and 71285013.

It is not an unprimeable number, because it can be changed into a prime (71285047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130047 + ... + 130593.

Almost surely, 2^71285040 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 71285040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120580824).

71285040 is an abundant number, since it is smaller than the sum of its proper divisors (169876608).

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

71285040 is a wasteful number, since it uses less digits than its factorization.

71285040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 71285040 is about 8443.0468434091. The cubic root of 71285040 is about 414.6351658860.

The spelling of 71285040 in words is "seventy-one million, two hundred eighty-five thousand, forty".