71127840 has 96 divisors (see below), whose sum is σ = 256072320. Its totient is φ = 16257024.

The previous prime is 71127839. The next prime is 71127851. The reversal of 71127840 is 4872117.

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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 71127798 and 71127807.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7225 + ... + 13944.

It is an arithmetic number, because the mean of its divisors is an integer number (2667420).

Almost surely, 2^71127840 is an apocalyptic number.

71127840 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

71127840 is an abundant number, since it is smaller than the sum of its proper divisors (184944480).

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

71127840 is a wasteful number, since it uses less digits than its factorization.

71127840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21194 (or 21186 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 30.

The square root of 71127840 is about 8433.7322698791. The cubic root of 71127840 is about 414.3301527553.

Adding to 71127840 its reverse (4872117), we get a palindrome (75999957).

The spelling of 71127840 in words is "seventy-one million, one hundred twenty-seven thousand, eight hundred forty".