72644235445040 has 160 divisors (see below), whose sum is σ = 193386004944000. Its totient is φ = 24860185362432.

The previous prime is 72644235445037. The next prime is 72644235445079. The reversal of 72644235445040 is 4054453244627.

It is a self number, because there is not a number n which added to its sum of digits gives 72644235445040.

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 31 ways as a sum of consecutive naturals, for example, 1036008062 + ... + 1036078178.

It is an arithmetic number, because the mean of its divisors is an integer number (1208662530900).

Almost surely, 2^{72644235445040} is an apocalyptic number.

72644235445040 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72644235445040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96693002472000).

72644235445040 is an abundant number, since it is smaller than the sum of its proper divisors (120741769498960).

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

72644235445040 is a wasteful number, since it uses less digits than its factorization.

72644235445040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73559 (or 73553 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 50.

Adding to 72644235445040 its reverse (4054453244627), we get a palindrome (76698688689667).

The spelling of 72644235445040 in words is "seventy-two trillion, six hundred forty-four billion, two hundred thirty-five million, four hundred forty-five thousand, forty".