72997680537600 has 3024 divisors, whose sum is σ = 314975951905104. Its totient is φ = 14774383411200.

The previous prime is 72997680537557. The next prime is 72997680537611. The reversal of 72997680537600 is 673508679927.

It is a super-2 number, since 2×72997680537600² (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 (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1028136345565 + ... + 1028136345635.

Almost surely, 2^{72997680537600} is an apocalyptic number.

72997680537600 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 72997680537600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157487975952552).

72997680537600 is an abundant number, since it is smaller than the sum of its proper divisors (241978271367504).

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

72997680537600 is a wasteful number, since it uses less digits than its factorization.

72997680537600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 240045120, while the sum is 69.

The spelling of 72997680537600 in words is "seventy-two trillion, nine hundred ninety-seven billion, six hundred eighty million, five hundred thirty-seven thousand, six hundred".