72653839440 has 640 divisors, whose sum is σ = 287981568000. Its totient is φ = 14739701760.

The previous prime is 72653839417. The next prime is 72653839483. The reversal of 72653839440 is 4493835627.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 161812336 + ... + 161812784.

It is an arithmetic number, because the mean of its divisors is an integer number (449971200).

Almost surely, 2^72653839440 is an apocalyptic number.

72653839440 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 72653839440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143990784000).

72653839440 is an abundant number, since it is smaller than the sum of its proper divisors (215327728560).

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

72653839440 is a wasteful number, since it uses less digits than its factorization.

72653839440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 51.

The spelling of 72653839440 in words is "seventy-two billion, six hundred fifty-three million, eight hundred thirty-nine thousand, four hundred forty".