72754926720 has 768 divisors, whose sum is σ = 282369162240. Its totient is φ = 15599001600.

The previous prime is 72754926719. The next prime is 72754926731. The reversal of 72754926720 is 2762945727.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 555381055 + ... + 555381185.

It is an arithmetic number, because the mean of its divisors is an integer number (367668180).

Almost surely, 2^72754926720 is an apocalyptic number.

72754926720 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 72754926720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141184581120).

72754926720 is an abundant number, since it is smaller than the sum of its proper divisors (209614235520).

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

72754926720 is a wasteful number, since it uses less digits than its factorization.

72754926720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 51.

The spelling of 72754926720 in words is "seventy-two billion, seven hundred fifty-four million, nine hundred twenty-six thousand, seven hundred twenty".