71147040 has 96 divisors (see below), whose sum is σ = 237323520. Its totient is φ = 17854464.

The previous prime is 71147009. The next prime is 71147047. The reversal of 71147040 is 4074117.

It is a tau number, because it is divible by the number of its divisors (96).

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 71147040.

It is not an unprimeable number, because it can be changed into a prime (71147047) 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, 3801 + ... + 12519.

It is an arithmetic number, because the mean of its divisors is an integer number (2472120).

Almost surely, 2^71147040 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 71147040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118661760).

71147040 is an abundant number, since it is smaller than the sum of its proper divisors (166176480).

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

71147040 is a wasteful number, since it uses less digits than its factorization.

71147040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8754 (or 8746 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 71147040 is about 8434.8704791479. The cubic root of 71147040 is about 414.3674303448.

The spelling of 71147040 in words is "seventy-one million, one hundred forty-seven thousand, forty".