72849769800 has 48 divisors (see below), whose sum is σ = 225834288240. Its totient is φ = 19426605120.

The previous prime is 72849769793. The next prime is 72849769801. The reversal of 72849769800 is 896794827.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (72849769801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60707542 + ... + 60708741.

It is an arithmetic number, because the mean of its divisors is an integer number (4704881005).

Almost surely, 2^72849769800 is an apocalyptic number.

It is an amenable number.

72849769800 is an abundant number, since it is smaller than the sum of its proper divisors (152984518440).

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

72849769800 is a wasteful number, since it uses less digits than its factorization.

72849769800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121416302 (or 121416293 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 60.

The spelling of 72849769800 in words is "seventy-two billion, eight hundred forty-nine million, seven hundred sixty-nine thousand, eight hundred".