71541680 has 80 divisors (see below), whose sum is σ = 194582784. Its totient is φ = 23950080.

The previous prime is 71541667. The next prime is 71541709. The reversal of 71541680 is 8614517.

It is a happy number.

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

It is an unprimeable number.

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, 22595 + ... + 25565.

Almost surely, 2^71541680 is an apocalyptic number.

71541680 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 71541680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97291392).

71541680 is an abundant number, since it is smaller than the sum of its proper divisors (123041104).

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

71541680 is a wasteful number, since it uses less digits than its factorization.

71541680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3034 (or 3028 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 32.

The square root of 71541680 is about 8458.2314936398. The cubic root of 71541680 is about 415.1321590023.

The spelling of 71541680 in words is "seventy-one million, five hundred forty-one thousand, six hundred eighty".