71461940 has 48 divisors (see below), whose sum is σ = 164977344. Its totient is φ = 25785600.

The previous prime is 71461939. The next prime is 71461979. The reversal of 71461940 is 4916417.

It is a junction number, because it is equal to n+sod(n) for n = 71461897 and 71461906.

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, 28955 + ... + 31325.

It is an arithmetic number, because the mean of its divisors is an integer number (3437028).

Almost surely, 2^71461940 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 71461940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82488672).

71461940 is an abundant number, since it is smaller than the sum of its proper divisors (93515404).

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

71461940 is a wasteful number, since it uses less digits than its factorization.

71461940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2528 (or 2526 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 71461940 is about 8453.5164280907. The cubic root of 71461940 is about 414.9778669185.

The spelling of 71461940 in words is "seventy-one million, four hundred sixty-one thousand, nine hundred forty".