72757426560 has 1536 divisors, whose sum is σ = 318811852800. Its totient is φ = 13934592000.

The previous prime is 72757426531. The next prime is 72757426561. The reversal of 72757426560 is 6562475727.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72757426561) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 720370510 + ... + 720370610.

It is an arithmetic number, because the mean of its divisors is an integer number (207559800).

Almost surely, 2^72757426560 is an apocalyptic number.

72757426560 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 72757426560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159405926400).

72757426560 is an abundant number, since it is smaller than the sum of its proper divisors (246054426240).

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

72757426560 is a wasteful number, since it uses less digits than its factorization.

72757426560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 4939200, while the sum is 51.

The spelling of 72757426560 in words is "seventy-two billion, seven hundred fifty-seven million, four hundred twenty-six thousand, five hundred sixty".