71662080 has 320 divisors, whose sum is σ = 276553728. Its totient is φ = 15482880.

The previous prime is 71662069. The next prime is 71662127. The reversal of 71662080 is 8026617.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1666539 + ... + 1666581.

Almost surely, 2^71662080 is an apocalyptic number.

71662080 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71662080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138276864).

71662080 is an abundant number, since it is smaller than the sum of its proper divisors (204891648).

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

71662080 is a wasteful number, since it uses less digits than its factorization.

71662080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 71662080 is about 8465.3458287302. The cubic root of 71662080 is about 415.3649086356.

Adding to 71662080 its reverse (8026617), we get a palindrome (79688697).

The spelling of 71662080 in words is "seventy-one million, six hundred sixty-two thousand, eighty".