71905680 has 240 divisors, whose sum is σ = 301302144. Its totient is φ = 14929920.

The previous prime is 71905679. The next prime is 71905711. The reversal of 71905680 is 8650917.

71905680 is a `hidden beast` number, since 7 + 1 + 90 + 568 + 0 = 666.

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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54792 + ... + 56088.

Almost surely, 2^71905680 is an apocalyptic number.

71905680 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 71905680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150651072).

71905680 is an abundant number, since it is smaller than the sum of its proper divisors (229396464).

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

71905680 is a wasteful number, since it uses less digits than its factorization.

71905680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 71905680 is about 8479.7216935463. The cubic root of 71905680 is about 415.8350245736.

The spelling of 71905680 in words is "seventy-one million, nine hundred five thousand, six hundred eighty".