73039561056 has 1440 divisors, whose sum is σ = 303671047680. Its totient is φ = 16751370240.

The previous prime is 73039561043. The next prime is 73039561079. The reversal of 73039561056 is 65016593037.

73039561056 is a `hidden beast` number, since 7 + 3 + 0 + 39 + 561 + 0 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 709121901 + ... + 709122003.

It is an arithmetic number, because the mean of its divisors is an integer number (210882672).

Almost surely, 2^73039561056 is an apocalyptic number.

73039561056 is a gapful number since it is divisible by the number (76) 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 73039561056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151835523840).

73039561056 is an abundant number, since it is smaller than the sum of its proper divisors (230631486624).

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

73039561056 is a wasteful number, since it uses less digits than its factorization.

73039561056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 45.

The spelling of 73039561056 in words is "seventy-three billion, thirty-nine million, five hundred sixty-one thousand, fifty-six".