71245929924 has 216 divisors, whose sum is σ = 201881785560. Its totient is φ = 21058652160.

The previous prime is 71245929919. The next prime is 71245929929. The reversal of 71245929924 is 42992954217.

It is a happy number.

71245929924 is a `hidden beast` number, since 7 + 1 + 24 + 592 + 9 + 9 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (71245929919) and next prime (71245929929).

It can be written as a sum of positive squares in 4 ways, for example, as 4981824 + 71240948100 = 2232^2 + 266910^2 .

Its product of digits (3265920) is a multiple of the sum of its prime divisors (1215).

It is not an unprimeable number, because it can be changed into a prime (71245929929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 70609932 + ... + 70610940.

Almost surely, 2^71245929924 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 71245929924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100940892780).

71245929924 is an abundant number, since it is smaller than the sum of its proper divisors (130635855636).

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

71245929924 is a wasteful number, since it uses less digits than its factorization.

71245929924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251 (or 1215 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The spelling of 71245929924 in words is "seventy-one billion, two hundred forty-five million, nine hundred twenty-nine thousand, nine hundred twenty-four".