72057497440 has 144 divisors (see below), whose sum is σ = 181410098688. Its totient is φ = 26953822208.

The previous prime is 72057497357. The next prime is 72057497441. The reversal of 72057497440 is 4479475027.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72057497441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 188139489 + ... + 188139871.

It is an arithmetic number, because the mean of its divisors is an integer number (1259792352).

Almost surely, 2^72057497440 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 72057497440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90705049344).

72057497440 is an abundant number, since it is smaller than the sum of its proper divisors (109352601248).

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

72057497440 is a wasteful number, since it uses less digits than its factorization.

72057497440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 49.

The spelling of 72057497440 in words is "seventy-two billion, fifty-seven million, four hundred ninety-seven thousand, four hundred forty".