71893680 has 160 divisors (see below), whose sum is σ = 240413184. Its totient is φ = 17707008.

The previous prime is 71893643. The next prime is 71893709. The reversal of 71893680 is 8639817.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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, 273229 + ... + 273491.

Almost surely, 2^71893680 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 71893680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120206592).

71893680 is an abundant number, since it is smaller than the sum of its proper divisors (168519504).

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

71893680 is a wasteful number, since it uses less digits than its factorization.

71893680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 71893680 is about 8479.0140936314. The cubic root of 71893680 is about 415.8118910376.

The spelling of 71893680 in words is "seventy-one million, eight hundred ninety-three thousand, six hundred eighty".