71746480 has 80 divisors (see below), whose sum is σ = 181238400. Its totient is φ = 26256384.

The previous prime is 71746469. The next prime is 71746483. The reversal of 71746480 is 8464717.

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

It is not an unprimeable number, because it can be changed into a prime (71746483) 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, 154729 + ... + 155191.

It is an arithmetic number, because the mean of its divisors is an integer number (2265480).

Almost surely, 2^71746480 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 71746480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90619200).

71746480 is an abundant number, since it is smaller than the sum of its proper divisors (109491920).

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

71746480 is a wasteful number, since it uses less digits than its factorization.

71746480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 37.

The square root of 71746480 is about 8470.3293914700. The cubic root of 71746480 is about 415.5279099727.

The spelling of 71746480 in words is "seventy-one million, seven hundred forty-six thousand, four hundred eighty".