71187680 has 48 divisors (see below), whose sum is σ = 177040080. Its totient is φ = 26975232.

The previous prime is 71187679. The next prime is 71187703. The reversal of 71187680 is 8678117.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8669 + ... + 14748.

It is an arithmetic number, because the mean of its divisors is an integer number (3688335).

Almost surely, 2^71187680 is an apocalyptic number.

It is an amenable number.

71187680 is an abundant number, since it is smaller than the sum of its proper divisors (105852400).

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

71187680 is a wasteful number, since it uses less digits than its factorization.

71187680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23451 (or 23443 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 38.

The square root of 71187680 is about 8437.2791822957. The cubic root of 71187680 is about 414.4463124599.

The spelling of 71187680 in words is "seventy-one million, one hundred eighty-seven thousand, six hundred eighty".