71820304248 has 384 divisors, whose sum is σ = 237778536960. Its totient is φ = 17548876800.

The previous prime is 71820304147. The next prime is 71820304249. The reversal of 71820304248 is 84240302817.

It is a super-2 number, since 2×71820304248² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71820304249) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 65708790 + ... + 65709882.

It is an arithmetic number, because the mean of its divisors is an integer number (619214940).

Almost surely, 2^71820304248 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 71820304248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118889268480).

71820304248 is an abundant number, since it is smaller than the sum of its proper divisors (165958232712).

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

71820304248 is a wasteful number, since it uses less digits than its factorization.

71820304248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The spelling of 71820304248 in words is "seventy-one billion, eight hundred twenty million, three hundred four thousand, two hundred forty-eight".