71345880 has 128 divisors (see below), whose sum is σ = 245606400. Its totient is φ = 18403200.

The previous prime is 71345867. The next prime is 71345891. The reversal of 71345880 is 8854317.

71345880 is a `hidden beast` number, since 71 + 3 + 4 + 588 + 0 = 666.

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

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, 32415 + ... + 34545.

It is an arithmetic number, because the mean of its divisors is an integer number (1918800).

Almost surely, 2^71345880 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 71345880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122803200).

71345880 is an abundant number, since it is smaller than the sum of its proper divisors (174260520).

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

71345880 is a wasteful number, since it uses less digits than its factorization.

71345880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2182 (or 2172 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 71345880 is about 8446.6490397080. The cubic root of 71345880 is about 414.7530925936.

The spelling of 71345880 in words is "seventy-one million, three hundred forty-five thousand, eight hundred eighty".