71956416 has 112 divisors (see below), whose sum is σ = 223617536. Its totient is φ = 19989504.

The previous prime is 71956387. The next prime is 71956433. The reversal of 71956416 is 61465917.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49005 + ... + 50451.

Almost surely, 2^71956416 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 71956416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111808768).

71956416 is an abundant number, since it is smaller than the sum of its proper divisors (151661120).

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

71956416 is a wasteful number, since it uses less digits than its factorization.

71956416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1506 (or 1496 counting only the distinct ones).

The product of its digits is 45360, while the sum is 39.

The square root of 71956416 is about 8482.7127736356. The cubic root of 71956416 is about 415.9328047286.

The spelling of 71956416 in words is "seventy-one million, nine hundred fifty-six thousand, four hundred sixteen".