71285940 has 144 divisors (see below), whose sum is σ = 243996480. Its totient is φ = 17265600.

The previous prime is 71285927. The next prime is 71285941. The reversal of 71285940 is 4958217.

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

It is a junction number, because it is equal to n+sod(n) for n = 71285895 and 71285904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71285941) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64795 + ... + 65885.

It is an arithmetic number, because the mean of its divisors is an integer number (1694420).

Almost surely, 2^71285940 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 71285940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121998240).

71285940 is an abundant number, since it is smaller than the sum of its proper divisors (172710540).

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

71285940 is a wasteful number, since it uses less digits than its factorization.

71285940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1131 (or 1112 counting only the distinct ones).

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

The square root of 71285940 is about 8443.1001415357. The cubic root of 71285940 is about 414.6369108528.

The spelling of 71285940 in words is "seventy-one million, two hundred eighty-five thousand, nine hundred forty".