71915940 has 144 divisors (see below), whose sum is σ = 235872000. Its totient is φ = 17681664.

The previous prime is 71915929. The next prime is 71915947. The reversal of 71915940 is 4951917.

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 = 71915895 and 71915904.

It is not an unprimeable number, because it can be changed into a prime (71915947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119761 + ... + 120359.

It is an arithmetic number, because the mean of its divisors is an integer number (1638000).

Almost surely, 2^71915940 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 71915940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117936000).

71915940 is an abundant number, since it is smaller than the sum of its proper divisors (163956060).

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

71915940 is a wasteful number, since it uses less digits than its factorization.

71915940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 71915940 is about 8480.3266446523. The cubic root of 71915940 is about 415.8548017059.

It can be divided in two parts, 7191 and 5940, that added together give a palindrome (13131).

The spelling of 71915940 in words is "seventy-one million, nine hundred fifteen thousand, nine hundred forty".