72293449104 has 80 divisors (see below), whose sum is σ = 207545515840. Its totient is φ = 24093573120.

The previous prime is 72293449079. The next prime is 72293449117. The reversal of 72293449104 is 40194439227.

72293449104 is a `hidden beast` number, since 72 + 2 + 93 + 4 + 491 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 72293449104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3307299 + ... + 3329085.

It is an arithmetic number, because the mean of its divisors is an integer number (2594318948).

Almost surely, 2^72293449104 is an apocalyptic number.

It is an amenable number.

72293449104 is an abundant number, since it is smaller than the sum of its proper divisors (135252066736).

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

72293449104 is a wasteful number, since it uses less digits than its factorization.

72293449104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29485 (or 29473 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 72293449104 in words is "seventy-two billion, two hundred ninety-three million, four hundred forty-nine thousand, one hundred four".