72537422509440 has 1536 divisors, whose sum is σ = 300255621120000. Its totient is φ = 15786852286464.

The previous prime is 72537422509439. The next prime is 72537422509451. The reversal of 72537422509440 is 4490522473527.

72537422509440 is a `hidden beast` number, since 7 + 2 + 5 + 3 + 74 + 22 + 509 + 4 + 40 = 666.

It is a super-2 number, since 2×72537422509440² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 32397239841 + ... + 32397242079.

It is an arithmetic number, because the mean of its divisors is an integer number (195478920000).

Almost surely, 2^{72537422509440} is an apocalyptic number.

72537422509440 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 72537422509440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150127810560000).

72537422509440 is an abundant number, since it is smaller than the sum of its proper divisors (227718198610560).

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

72537422509440 is a wasteful number, since it uses less digits than its factorization.

72537422509440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2672 (or 2657 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 54.

The spelling of 72537422509440 in words is "seventy-two trillion, five hundred thirty-seven billion, four hundred twenty-two million, five hundred nine thousand, four hundred forty".