72754246656 has 1188 divisors, whose sum is σ = 289355985828. Its totient is φ = 18059231232.

The previous prime is 72754246651. The next prime is 72754246711. The reversal of 72754246656 is 65664245727.

72754246656 is a `hidden beast` number, since 7 + 2 + 7 + 542 + 46 + 6 + 56 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 32920473600 + 39833773056 = 181440^2 + 199584^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (16934400) is a multiple of the sum of its prime divisors (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72754246651) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4279661560 + ... + 4279661576.

Almost surely, 2^72754246656 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 72754246656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144677992914).

72754246656 is an abundant number, since it is smaller than the sum of its proper divisors (216601739172).

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

72754246656 is an equidigital number, since it uses as much as digits as its factorization.

72754246656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 42 counting only the distinct ones).

The product of its digits is 16934400, while the sum is 54.

The spelling of 72754246656 in words is "seventy-two billion, seven hundred fifty-four million, two hundred forty-six thousand, six hundred fifty-six".