73242577056 has 384 divisors, whose sum is σ = 228666654720. Its totient is φ = 20295475200.

The previous prime is 73242577019. The next prime is 73242577069. The reversal of 73242577056 is 65077524237.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 73242576996 and 73242577014.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67010046 + ... + 67011138.

It is an arithmetic number, because the mean of its divisors is an integer number (595486080).

Almost surely, 2^73242577056 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 73242577056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114333327360).

73242577056 is an abundant number, since it is smaller than the sum of its proper divisors (155424077664).

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

73242577056 is a wasteful number, since it uses less digits than its factorization.

73242577056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1260 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 2469600, while the sum is 48.

The spelling of 73242577056 in words is "seventy-three billion, two hundred forty-two million, five hundred seventy-seven thousand, fifty-six".