72452910816 has 144 divisors (see below), whose sum is σ = 242058726000. Its totient is φ = 20266536960.

The previous prime is 72452910763. The next prime is 72452910833. The reversal of 72452910816 is 61801925427.

72452910816 is a `hidden beast` number, since 7 + 2 + 4 + 529 + 108 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×72452910816² (a number of 23 digits) contains 22 as substring.

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, 838441 + ... + 920808.

It is an arithmetic number, because the mean of its divisors is an integer number (1680963375).

Almost surely, 2^72452910816 is an apocalyptic number.

It is an amenable number.

72452910816 is an abundant number, since it is smaller than the sum of its proper divisors (169605815184).

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

72452910816 is a wasteful number, since it uses less digits than its factorization.

72452910816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1759289 (or 1759278 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 72452910816 in words is "seventy-two billion, four hundred fifty-two million, nine hundred ten thousand, eight hundred sixteen".