72442656440 has 256 divisors, whose sum is σ = 209129472000. Its totient is φ = 22573837440.

The previous prime is 72442656431. The next prime is 72442656457. The reversal of 72442656440 is 4465624427.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 72442656391 and 72442656400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18259337 + ... + 18263303.

It is an arithmetic number, because the mean of its divisors is an integer number (816912000).

Almost surely, 2^72442656440 is an apocalyptic number.

72442656440 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 72442656440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104564736000).

72442656440 is an abundant number, since it is smaller than the sum of its proper divisors (136686815560).

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

72442656440 is a wasteful number, since it uses less digits than its factorization.

72442656440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4032 (or 3992 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 44.

The spelling of 72442656440 in words is "seventy-two billion, four hundred forty-two million, six hundred fifty-six thousand, four hundred forty".