71886960 has 160 divisors (see below), whose sum is σ = 258554880. Its totient is φ = 18323712.

The previous prime is 71886929. The next prime is 71886961. The reversal of 71886960 is 6968817.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71886961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48957 + ... + 50403.

It is an arithmetic number, because the mean of its divisors is an integer number (1615968).

Almost surely, 2^71886960 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 71886960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129277440).

71886960 is an abundant number, since it is smaller than the sum of its proper divisors (186667920).

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

71886960 is a wasteful number, since it uses less digits than its factorization.

71886960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1492 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 71886960 is about 8478.6178118842. The cubic root of 71886960 is about 415.7989351330.

It can be divided in two parts, 718 and 86960, that added together give a palindrome (87678).

The spelling of 71886960 in words is "seventy-one million, eight hundred eighty-six thousand, nine hundred sixty".