71965980 has 72 divisors (see below), whose sum is σ = 220972752. Its totient is φ = 18955776.

The previous prime is 71965969. The next prime is 71965991. The reversal of 71965980 is 8956917.

It is an interprime number because it is at equal distance from previous prime (71965969) and next prime (71965991).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 12532 + ... + 17348.

It is an arithmetic number, because the mean of its divisors is an integer number (3069066).

Almost surely, 2^71965980 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 71965980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110486376).

71965980 is an abundant number, since it is smaller than the sum of its proper divisors (149006772).

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

71965980 is a wasteful number, since it uses less digits than its factorization.

71965980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4915 (or 4910 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 71965980 is about 8483.2764896589. The cubic root of 71965980 is about 415.9512316474.

The spelling of 71965980 in words is "seventy-one million, nine hundred sixty-five thousand, nine hundred eighty".