72440745984 has 416 divisors, whose sum is σ = 231843306240. Its totient is φ = 22267035648.

The previous prime is 72440745961. The next prime is 72440745989. The reversal of 72440745984 is 48954704427.

72440745984 is a `hidden beast` number, since 7 + 2 + 4 + 40 + 7 + 4 + 598 + 4 = 666.

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 72440745984.

It is not an unprimeable number, because it can be changed into a prime (72440745989) 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 31 ways as a sum of consecutive naturals, for example, 99643029 + ... + 99643755.

It is an arithmetic number, because the mean of its divisors is an integer number (557315640).

Almost surely, 2^72440745984 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 72440745984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115921653120).

72440745984 is an abundant number, since it is smaller than the sum of its proper divisors (159402560256).

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

72440745984 is a wasteful number, since it uses less digits than its factorization.

72440745984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 72440745984 in words is "seventy-two billion, four hundred forty million, seven hundred forty-five thousand, nine hundred eighty-four".