71435040 has 96 divisors (see below), whose sum is σ = 230319936. Its totient is φ = 18600960.

The previous prime is 71435027. The next prime is 71435047. The reversal of 71435040 is 4053417.

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 71435040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71435047) 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, 18910 + ... + 22370.

It is an arithmetic number, because the mean of its divisors is an integer number (2399166).

Almost surely, 2^71435040 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 71435040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115159968).

71435040 is an abundant number, since it is smaller than the sum of its proper divisors (158884896).

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

71435040 is a wasteful number, since it uses less digits than its factorization.

71435040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3522 (or 3514 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 71435040 is about 8451.9252244681. The cubic root of 71435040 is about 414.9257911535.

Adding to 71435040 its reverse (4053417), we get a palindrome (75488457).

The spelling of 71435040 in words is "seventy-one million, four hundred thirty-five thousand, forty".