71936960 has 56 divisors (see below), whose sum is σ = 175509936. Its totient is φ = 28067840.

The previous prime is 71936959. The next prime is 71936993. The reversal of 71936960 is 6963917.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (41).

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 7 ways as a sum of consecutive naturals, for example, 10379 + ... + 15861.

It is an arithmetic number, because the mean of its divisors is an integer number (3134106).

Almost surely, 2^71936960 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 71936960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87754968).

71936960 is an abundant number, since it is smaller than the sum of its proper divisors (103572976).

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

71936960 is a wasteful number, since it uses less digits than its factorization.

71936960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5541 (or 5531 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 41.

The square root of 71936960 is about 8481.5658931591. The cubic root of 71936960 is about 415.8953138947.

The spelling of 71936960 in words is "seventy-one million, nine hundred thirty-six thousand, nine hundred sixty".