72578003904 has 168 divisors, whose sum is σ = 237891084288. Its totient is φ = 20724318720.

The previous prime is 72578003891. The next prime is 72578003921. The reversal of 72578003904 is 40930087527.

72578003904 is a `hidden beast` number, since 7 + 257 + 8 + 0 + 0 + 390 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 72578003904.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 8507289 + ... + 8515815.

Almost surely, 2^72578003904 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 72578003904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118945542144).

72578003904 is an abundant number, since it is smaller than the sum of its proper divisors (165313080384).

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

72578003904 is a wasteful number, since it uses less digits than its factorization.

72578003904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10663 (or 10650 counting only the distinct ones).

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

The spelling of 72578003904 in words is "seventy-two billion, five hundred seventy-eight million, three thousand, nine hundred four".