71053680 has 80 divisors (see below), whose sum is σ = 221976864. Its totient is φ = 18800640.

The previous prime is 71053679. The next prime is 71053681. The reversal of 71053680 is 8635017.

It is an interprime number because it is at equal distance from previous prime (71053679) and next prime (71053681).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71053681) by changing a digit.

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, 31800 + ... + 33960.

Almost surely, 2^71053680 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 71053680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110988432).

71053680 is an abundant number, since it is smaller than the sum of its proper divisors (150923184).

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

71053680 is a wasteful number, since it uses less digits than its factorization.

71053680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2314 (or 2308 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 71053680 is about 8429.3344933037. The cubic root of 71053680 is about 414.1861050370.

Adding to 71053680 its reverse (8635017), we get a palindrome (79688697).

The spelling of 71053680 in words is "seventy-one million, fifty-three thousand, six hundred eighty".