72972485134848 has 1120 divisors, whose sum is σ = 239243890286016. Its totient is φ = 22091312922624.

The previous prime is 72972485134837. The next prime is 72972485134867. The reversal of 72972485134848 is 84843158427927.

72972485134848 is a `hidden beast` number, since 7 + 2 + 9 + 7 + 2 + 485 + 134 + 8 + 4 + 8 = 666.

It is a super-2 number, since 2×72972485134848² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 106841119915 + ... + 106841120597.

Almost surely, 2^{72972485134848} is an apocalyptic number.

72972485134848 is a gapful number since it is divisible by the number (78) 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 72972485134848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119621945143008).

72972485134848 is an abundant number, since it is smaller than the sum of its proper divisors (166271405151168).

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

72972485134848 is an equidigital number, since it uses as much as digits as its factorization.

72972485134848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 1025 counting only the distinct ones).

The product of its digits is 867041280, while the sum is 72.

The spelling of 72972485134848 in words is "seventy-two trillion, nine hundred seventy-two billion, four hundred eighty-five million, one hundred thirty-four thousand, eight hundred forty-eight".