73019255040 has 432 divisors, whose sum is σ = 267202930176. Its totient is φ = 18380390400.

The previous prime is 73019255011. The next prime is 73019255047. The reversal of 73019255040 is 4055291037.

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 = 73019254986 and 73019255004.

It is not an unprimeable number, because it can be changed into a prime (73019255047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14639427 + ... + 14644413.

Almost surely, 2^73019255040 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 73019255040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133601465088).

73019255040 is an abundant number, since it is smaller than the sum of its proper divisors (194183675136).

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

73019255040 is a wasteful number, since it uses less digits than its factorization.

73019255040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5086 (or 5069 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 73019255040 in words is "seventy-three billion, nineteen million, two hundred fifty-five thousand, forty".