73082501856 has 384 divisors, whose sum is σ = 267942850560. Its totient is φ = 18863456256.

The previous prime is 73082501851. The next prime is 73082501857. The reversal of 73082501856 is 65810528037.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73082501851) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3685440 + ... + 3705216.

It is an arithmetic number, because the mean of its divisors is an integer number (697767840).

Almost surely, 2^73082501856 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 73082501856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133971425280).

73082501856 is an abundant number, since it is smaller than the sum of its proper divisors (194860348704).

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

73082501856 is a wasteful number, since it uses less digits than its factorization.

73082501856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19863 (or 19849 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 73082501856 in words is "seventy-three billion, eighty-two million, five hundred one thousand, eight hundred fifty-six".