71985956 has 48 divisors (see below), whose sum is σ = 156030336. Its totient is φ = 28353024.

The previous prime is 71985911. The next prime is 71985971. The reversal of 71985956 is 65958917.

It is a happy number.

It is a super-2 number, since 2×71985956² = 10363955722467872, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 18710 + ... + 22226.

It is an arithmetic number, because the mean of its divisors is an integer number (3250632).

Almost surely, 2^71985956 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 71985956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78015168).

71985956 is an abundant number, since it is smaller than the sum of its proper divisors (84044380).

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

71985956 is a wasteful number, since it uses less digits than its factorization.

71985956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3588 (or 3586 counting only the distinct ones).

The product of its digits is 680400, while the sum is 50.

The square root of 71985956 is about 8484.4537832438. The cubic root of 71985956 is about 415.9897140578.

The spelling of 71985956 in words is "seventy-one million, nine hundred eighty-five thousand, nine hundred fifty-six".