71138040 has 64 divisors (see below), whose sum is σ = 214220160. Its totient is φ = 18898560.

The previous prime is 71138021. The next prime is 71138051. The reversal of 71138040 is 4083117.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 71138040.

It is a congruent number.

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, 35875 + ... + 37805.

It is an arithmetic number, because the mean of its divisors is an integer number (3347190).

Almost surely, 2^71138040 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 71138040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107110080).

71138040 is an abundant number, since it is smaller than the sum of its proper divisors (143082120).

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

71138040 is a wasteful number, since it uses less digits than its factorization.

71138040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2252 (or 2248 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 71138040 is about 8434.3369626782. The cubic root of 71138040 is about 414.3499573099.

The spelling of 71138040 in words is "seventy-one million, one hundred thirty-eight thousand, forty".