72736897104 has 50 divisors (see below), whose sum is σ = 210521686650. Its totient is φ = 24245631936.

The previous prime is 72736897099. The next prime is 72736897139. The reversal of 72736897104 is 40179863727.

It can be written as a sum of positive squares in only one way, i.e., 52587662400 + 20149234704 = 229320^2 + 141948^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

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 9 ways as a sum of consecutive naturals, for example, 28060779 + ... + 28063370.

It is an arithmetic number, because the mean of its divisors is an integer number (4210433733).

Almost surely, 2^72736897104 is an apocalyptic number.

It is an amenable number.

72736897104 is an abundant number, since it is smaller than the sum of its proper divisors (137784789546).

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

72736897104 is a wasteful number, since it uses less digits than its factorization.

72736897104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56124169 (or 56124154 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 72736897104 in words is "seventy-two billion, seven hundred thirty-six million, eight hundred ninety-seven thousand, one hundred four".