71705480 has 128 divisors (see below), whose sum is σ = 207912960. Its totient is φ = 21600000.

The previous prime is 71705479. The next prime is 71705509. The reversal of 71705480 is 8450717.

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, 95105 + ... + 95855.

It is an arithmetic number, because the mean of its divisors is an integer number (1624320).

Almost surely, 2^71705480 is an apocalyptic number.

71705480 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 71705480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103956480).

71705480 is an abundant number, since it is smaller than the sum of its proper divisors (136207480).

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

71705480 is a wasteful number, since it uses less digits than its factorization.

71705480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 32.

The square root of 71705480 is about 8467.9088327638. The cubic root of 71705480 is about 415.4487428341.

The spelling of 71705480 in words is "seventy-one million, seven hundred five thousand, four hundred eighty".