73222583040 has 432 divisors, whose sum is σ = 274280680800. Its totient is φ = 18495184896.

The previous prime is 73222583009. The next prime is 73222583081. The reversal of 73222583040 is 4038522237.

73222583040 is a `hidden beast` number, since 7 + 32 + 2 + 2 + 583 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 73222582986 and 73222583004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12473226 + ... + 12479094.

Almost surely, 2^73222583040 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 73222583040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137140340400).

73222583040 is an abundant number, since it is smaller than the sum of its proper divisors (201058097760).

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

73222583040 is a wasteful number, since it uses less digits than its factorization.

73222583040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5937 (or 5898 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 73222583040 in words is "seventy-three billion, two hundred twenty-two million, five hundred eighty-three thousand, forty".