72935610048 has 168 divisors, whose sum is σ = 245379861792. Its totient is φ = 20275494912.

The previous prime is 72935610047. The next prime is 72935610049. The reversal of 72935610048 is 84001653927.

72935610048 is a `hidden beast` number, since 7 + 29 + 3 + 5 + 610 + 0 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (72935610047) and next prime (72935610049).

It is a tau number, because it is divible by the number of its divisors (168).

It is a junction number, because it is equal to n+sod(n) for n = 72935609985 and 72935610012.

It is not an unprimeable number, because it can be changed into a prime (72935610043) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 95265 + ... + 393632.

It is a 1-persistent number, because it is pandigital, but 2⋅72935610048 = 145871220096 is not.

Almost surely, 2^72935610048 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 72935610048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122689930896).

72935610048 is an abundant number, since it is smaller than the sum of its proper divisors (172444251744).

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

72935610048 is a wasteful number, since it uses less digits than its factorization.

72935610048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488959 (or 488946 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 72935610048 in words is "seventy-two billion, nine hundred thirty-five million, six hundred ten thousand, forty-eight".