72461048688 has 270 divisors, whose sum is σ = 244976894136. Its totient is φ = 20701687104.

The previous prime is 72461048683. The next prime is 72461048707. The reversal of 72461048688 is 88684016427.

72461048688 is a `hidden beast` number, since 7 + 24 + 61 + 0 + 486 + 88 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72461048683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 5136781 + ... + 5150867.

Almost surely, 2^72461048688 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 72461048688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122488447068).

72461048688 is an abundant number, since it is smaller than the sum of its proper divisors (172515845448).

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

72461048688 is an equidigital number, since it uses as much as digits as its factorization.

72461048688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14133 (or 14099 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 72461048688 in words is "seventy-two billion, four hundred sixty-one million, forty-eight thousand, six hundred eighty-eight".