71786496 has 112 divisors (see below), whose sum is σ = 201314304. Its totient is φ = 22708224.

The previous prime is 71786423. The next prime is 71786497. The reversal of 71786496 is 69468717.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71786497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 565185 + ... + 565311.

Almost surely, 2^71786496 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 71786496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100657152).

71786496 is an abundant number, since it is smaller than the sum of its proper divisors (129527808).

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

71786496 is a wasteful number, since it uses less digits than its factorization.

71786496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 155 counting only the distinct ones).

The product of its digits is 508032, while the sum is 48.

The square root of 71786496 is about 8472.6911899349. The cubic root of 71786496 is about 415.6051480220.

The spelling of 71786496 in words is "seventy-one million, seven hundred eighty-six thousand, four hundred ninety-six".