72905614848 has 240 divisors, whose sum is σ = 235143981072. Its totient is φ = 21553152000.

The previous prime is 72905614819. The next prime is 72905614861. The reversal of 72905614848 is 84841650927.

It is a happy number.

72905614848 is a `hidden beast` number, since 72 + 9 + 0 + 561 + 4 + 8 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 72905614794 and 72905614803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2060668 + ... + 2095748.

Almost surely, 2^72905614848 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 72905614848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117571990536).

72905614848 is an abundant number, since it is smaller than the sum of its proper divisors (162238366224).

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

72905614848 is a wasteful number, since it uses less digits than its factorization.

72905614848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35157 (or 35138 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 72905614848 in words is "seventy-two billion, nine hundred five million, six hundred fourteen thousand, eight hundred forty-eight".