71360960 has 168 divisors, whose sum is σ = 198638160. Its totient is φ = 24330240.

The previous prime is 71360959. The next prime is 71360981. The reversal of 71360960 is 6906317.

It is a super-2 number, since 2×71360960² = 10184773224243200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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, 735632 + ... + 735728.

It is an arithmetic number, because the mean of its divisors is an integer number (1182370).

Almost surely, 2^71360960 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 71360960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99319080).

71360960 is an abundant number, since it is smaller than the sum of its proper divisors (127277200).

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

71360960 is a wasteful number, since it uses less digits than its factorization.

71360960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 32.

The square root of 71360960 is about 8447.5416542329. The cubic root of 71360960 is about 414.7823119217.

The spelling of 71360960 in words is "seventy-one million, three hundred sixty thousand, nine hundred sixty".