71079840 has 144 divisors (see below), whose sum is σ = 261287208. Its totient is φ = 17491968.

The previous prime is 71079809. The next prime is 71079851. The reversal of 71079840 is 4897017.

It can be written as a sum of positive squares in 4 ways, for example, as 21123216 + 49956624 = 4596^2 + 7068^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 71079795 and 71079804.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16822 + ... + 20618.

Almost surely, 2^71079840 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 71079840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130643604).

71079840 is an abundant number, since it is smaller than the sum of its proper divisors (190207368).

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

71079840 is a wasteful number, since it uses less digits than its factorization.

71079840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3831 (or 3820 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 71079840 is about 8430.8860744290. The cubic root of 71079840 is about 414.2369294234.

The spelling of 71079840 in words is "seventy-one million, seventy-nine thousand, eight hundred forty".