71733816 has 256 divisors, whose sum is σ = 262656000. Its totient is φ = 17573760.

The previous prime is 71733737. The next prime is 71733821. The reversal of 71733816 is 61833717.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 315895 + ... + 316121.

It is an arithmetic number, because the mean of its divisors is an integer number (1026000).

Almost surely, 2^71733816 is an apocalyptic number.

71733816 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71733816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131328000).

71733816 is an abundant number, since it is smaller than the sum of its proper divisors (190922184).

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

71733816 is a wasteful number, since it uses less digits than its factorization.

71733816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 269 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 71733816 is about 8469.5818078580. The cubic root of 71733816 is about 415.5034602013.

Subtracting from 71733816 its reverse (61833717), we obtain a palindrome (9900099).

The spelling of 71733816 in words is "seventy-one million, seven hundred thirty-three thousand, eight hundred sixteen".