72537593040 has 600 divisors, whose sum is σ = 281034762624. Its totient is φ = 17323891200.

The previous prime is 72537593033. The next prime is 72537593041. The reversal of 72537593040 is 4039573527.

72537593040 is a `hidden beast` number, since 7 + 2 + 53 + 7 + 593 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72537593041) 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 119 ways as a sum of consecutive naturals, for example, 55669029 + ... + 55670331.

Almost surely, 2^72537593040 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 72537593040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140517381312).

72537593040 is an abundant number, since it is smaller than the sum of its proper divisors (208497169584).

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

72537593040 is a wasteful number, since it uses less digits than its factorization.

72537593040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1421 (or 1395 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 45.

The spelling of 72537593040 in words is "seventy-two billion, five hundred thirty-seven million, five hundred ninety-three thousand, forty".