72723950208 has 1152 divisors, whose sum is σ = 284434001280. Its totient is φ = 17390370816.

The previous prime is 72723950197. The next prime is 72723950261. The reversal of 72723950208 is 80205932727.

72723950208 is a `hidden beast` number, since 72 + 72 + 3 + 9 + 502 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 996218460 + ... + 996218532.

It is an arithmetic number, because the mean of its divisors is an integer number (246904515).

Almost surely, 2^72723950208 is an apocalyptic number.

72723950208 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 72723950208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142217000640).

72723950208 is an abundant number, since it is smaller than the sum of its proper divisors (211710051072).

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

72723950208 is a wasteful number, since it uses less digits than its factorization.

72723950208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 72723950208 in words is "seventy-two billion, seven hundred twenty-three million, nine hundred fifty thousand, two hundred eight".