72810685049472 has 384 divisors, whose sum is σ = 217536388992000. Its totient is φ = 23347924992000.

The previous prime is 72810685049437. The next prime is 72810685049489. The reversal of 72810685049472 is 27494058601827.

It is a happy number.

72810685049472 is a `hidden beast` number, since 7 + 2 + 8 + 10 + 68 + 5 + 0 + 494 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13919073097 + ... + 13919078327.

It is an arithmetic number, because the mean of its divisors is an integer number (566501013000).

Almost surely, 2^{72810685049472} is an apocalyptic number.

72810685049472 is a gapful number since it is divisible by the number (72) 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 72810685049472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108768194496000).

72810685049472 is an abundant number, since it is smaller than the sum of its proper divisors (144725703942528).

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

72810685049472 is a wasteful number, since it uses less digits than its factorization.

72810685049472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6720 (or 6705 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 72810685049472 in words is "seventy-two trillion, eight hundred ten billion, six hundred eighty-five million, forty-nine thousand, four hundred seventy-two".