72030726144 has 480 divisors, whose sum is σ = 234412738560. Its totient is φ = 21905178624.

The previous prime is 72030726133. The next prime is 72030726149. The reversal of 72030726144 is 44162703027.

72030726144 is a `hidden beast` number, since 7 + 2 + 0 + 30 + 7 + 2 + 614 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 72030726099 and 72030726108.

It is not an unprimeable number, because it can be changed into a prime (72030726149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 273880957 + ... + 273881219.

It is an arithmetic number, because the mean of its divisors is an integer number (488359872).

Almost surely, 2^72030726144 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 72030726144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117206369280).

72030726144 is an abundant number, since it is smaller than the sum of its proper divisors (162382012416).

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

72030726144 is a wasteful number, since it uses less digits than its factorization.

72030726144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 72030726144 in words is "seventy-two billion, thirty million, seven hundred twenty-six thousand, one hundred forty-four".