71957940 has 192 divisors, whose sum is σ = 232243200. Its totient is φ = 16533504.

The previous prime is 71957939. The next prime is 71957947. The reversal of 71957940 is 4975917.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 71957892 and 71957901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71957947) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 910821 + ... + 910899.

It is an arithmetic number, because the mean of its divisors is an integer number (1209600).

Almost surely, 2^71957940 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 71957940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116121600).

71957940 is an abundant number, since it is smaller than the sum of its proper divisors (160285260).

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

71957940 is a wasteful number, since it uses less digits than its factorization.

71957940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 42.

The square root of 71957940 is about 8482.8026029137. The cubic root of 71957940 is about 415.9357411224.

The spelling of 71957940 in words is "seventy-one million, nine hundred fifty-seven thousand, nine hundred forty".