71243649792 has 648 divisors, whose sum is σ = 252917822976. Its totient is φ = 19584571392.

The previous prime is 71243649779. The next prime is 71243649797. The reversal of 71243649792 is 29794634217.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71243649797) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1207519459 + ... + 1207519517.

Almost surely, 2^71243649792 is an apocalyptic number.

71243649792 is a gapful number since it is divisible by the number (72) 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 71243649792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126458911488).

71243649792 is an abundant number, since it is smaller than the sum of its proper divisors (181674173184).

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

71243649792 is an frugal number, since it uses more digits than its factorization.

71243649792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 118 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The spelling of 71243649792 in words is "seventy-one billion, two hundred forty-three million, six hundred forty-nine thousand, seven hundred ninety-two".