72744269184 has 128 divisors (see below), whose sum is σ = 214928524800. Its totient is φ = 24221901312.

The previous prime is 72744269161. The next prime is 72744269209. The reversal of 72744269184 is 48196244727.

72744269184 is a `hidden beast` number, since 72 + 74 + 426 + 9 + 1 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×72744269184² (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 72744269184.

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 15 ways as a sum of consecutive naturals, for example, 3331069 + ... + 3352835.

It is an arithmetic number, because the mean of its divisors is an integer number (1679129100).

Almost surely, 2^72744269184 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 72744269184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107464262400).

72744269184 is an abundant number, since it is smaller than the sum of its proper divisors (142184255616).

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

72744269184 is a wasteful number, since it uses less digits than its factorization.

72744269184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22757 (or 22739 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The spelling of 72744269184 in words is "seventy-two billion, seven hundred forty-four million, two hundred sixty-nine thousand, one hundred eighty-four".