71118960 has 240 divisors, whose sum is σ = 253317120. Its totient is φ = 16473600.

The previous prime is 71118917. The next prime is 71118979. The reversal of 71118960 is 6981117.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 900201 + ... + 900279.

It is an arithmetic number, because the mean of its divisors is an integer number (1055488).

Almost surely, 2^71118960 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 71118960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126658560).

71118960 is an abundant number, since it is smaller than the sum of its proper divisors (182198160).

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

71118960 is a wasteful number, since it uses less digits than its factorization.

71118960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 33.

The square root of 71118960 is about 8433.2057961371. The cubic root of 71118960 is about 414.3129096014.

The spelling of 71118960 in words is "seventy-one million, one hundred eighteen thousand, nine hundred sixty".