71993280 has 112 divisors (see below), whose sum is σ = 240670080. Its totient is φ = 18183168.

The previous prime is 71993269. The next prime is 71993329. The reversal of 71993280 is 8239917.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16267 + ... + 20213.

It is an arithmetic number, because the mean of its divisors is an integer number (2148840).

Almost surely, 2^71993280 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 71993280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120335040).

71993280 is an abundant number, since it is smaller than the sum of its proper divisors (168676800).

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

71993280 is a wasteful number, since it uses less digits than its factorization.

71993280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3986 (or 3976 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 71993280 is about 8484.8853852011. The cubic root of 71993280 is about 416.0038214639.

The spelling of 71993280 in words is "seventy-one million, nine hundred ninety-three thousand, two hundred eighty".