71396766 has 48 divisors (see below), whose sum is σ = 178948224. Its totient is φ = 20150352.

The previous prime is 71396749. The next prime is 71396783. The reversal of 71396766 is 66769317.

It is an interprime number because it is at equal distance from previous prime (71396749) and next prime (71396783).

It is a nude number because it is divisible by every one of its digits.

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 23 ways as a sum of consecutive naturals, for example, 7045 + ... + 13871.

It is an arithmetic number, because the mean of its divisors is an integer number (3728088).

Almost surely, 2^71396766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71396766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89474112).

71396766 is an abundant number, since it is smaller than the sum of its proper divisors (107551458).

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

71396766 is a wasteful number, since it uses less digits than its factorization.

71396766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6925 (or 6922 counting only the distinct ones).

The product of its digits is 285768, while the sum is 45.

The square root of 71396766 is about 8449.6607032472. The cubic root of 71396766 is about 414.8516739004.

It can be divided in two parts, 713 and 96766, that added together give a palindrome (97479).

The spelling of 71396766 in words is "seventy-one million, three hundred ninety-six thousand, seven hundred sixty-six".