71945280 has 224 divisors, whose sum is σ = 277246080. Its totient is φ = 17418240.

The previous prime is 71945261. The next prime is 71945281. The reversal of 71945280 is 8254917.

It is a super-2 number, since 2×71945280² = 10352246628556800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (71945281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94662 + ... + 95418.

Almost surely, 2^71945280 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 71945280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138623040).

71945280 is an abundant number, since it is smaller than the sum of its proper divisors (205300800).

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

71945280 is a wasteful number, since it uses less digits than its factorization.

71945280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 71945280 is about 8482.0563544461. The cubic root of 71945280 is about 415.9113469864.

The spelling of 71945280 in words is "seventy-one million, nine hundred forty-five thousand, two hundred eighty".