71945880 has 128 divisors (see below), whose sum is σ = 225054720. Its totient is φ = 18385920.

The previous prime is 71945869. The next prime is 71945891. The reversal of 71945880 is 8854917.

It is an interprime number because it is at equal distance from previous prime (71945869) and next prime (71945891).

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

It is a congruent number.

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, 376585 + ... + 376775.

It is an arithmetic number, because the mean of its divisors is an integer number (1758240).

Almost surely, 2^71945880 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 71945880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112527360).

71945880 is an abundant number, since it is smaller than the sum of its proper divisors (153108840).

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

71945880 is a wasteful number, since it uses less digits than its factorization.

71945880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 71945880 is about 8482.0917231541. The cubic root of 71945880 is about 415.9125031712.

The spelling of 71945880 in words is "seventy-one million, nine hundred forty-five thousand, eight hundred eighty".