72044406720 has 2016 divisors, whose sum is σ = 330533898240. Its totient is φ = 14780620800.

The previous prime is 72044406703. The next prime is 72044406787. The reversal of 72044406720 is 2760444027.

It is a happy number.

72044406720 is a `hidden beast` number, since 7 + 204 + 440 + 6 + 7 + 2 + 0 = 666.

It is a super-3 number, since 3×72044406720³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2324013105 + ... + 2324013135.

Almost surely, 2^72044406720 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 72044406720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165266949120).

72044406720 is an abundant number, since it is smaller than the sum of its proper divisors (258489491520).

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

72044406720 is a wasteful number, since it uses less digits than its factorization.

72044406720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The spelling of 72044406720 in words is "seventy-two billion, forty-four million, four hundred six thousand, seven hundred twenty".