72390743040 has 704 divisors, whose sum is σ = 292108013568. Its totient is φ = 14863564800.

The previous prime is 72390743011. The next prime is 72390743063. The reversal of 72390743040 is 4034709327.

It is a tau number, because it is divible by the number of its divisors (704).

It is a self number, because there is not a number n which added to its sum of digits gives 72390743040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 114723525 + ... + 114724155.

Almost surely, 2^72390743040 is an apocalyptic number.

72390743040 is a gapful number since it is divisible by the number (70) 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 72390743040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146054006784).

72390743040 is an abundant number, since it is smaller than the sum of its proper divisors (219717270528).

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

72390743040 is a wasteful number, since it uses less digits than its factorization.

72390743040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 39.

The spelling of 72390743040 in words is "seventy-two billion, three hundred ninety million, seven hundred forty-three thousand, forty".