71323714224 has 480 divisors, whose sum is σ = 248219112960. Its totient is φ = 18662400000.

The previous prime is 71323714199. The next prime is 71323714271. The reversal of 71323714224 is 42241732317.

It is a Cunningham number, because it is equal to 267065²-1.

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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 177864424 + ... + 177864824.

It is an arithmetic number, because the mean of its divisors is an integer number (517123152).

Almost surely, 2^71323714224 is an apocalyptic number.

71323714224 is a gapful number since it is divisible by the number (74) 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 71323714224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124109556480).

71323714224 is an abundant number, since it is smaller than the sum of its proper divisors (176895398736).

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

71323714224 is a wasteful number, since it uses less digits than its factorization.

71323714224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 720 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The spelling of 71323714224 in words is "seventy-one billion, three hundred twenty-three million, seven hundred fourteen thousand, two hundred twenty-four".