72506952799776 has 384 divisors, whose sum is σ = 231526520709120. Its totient is φ = 21893521536000.

The previous prime is 72506952799739. The next prime is 72506952799789. The reversal of 72506952799776 is 67799725960527.

72506952799776 is a `hidden beast` number, since 7 + 25 + 0 + 69 + 527 + 9 + 9 + 7 + 7 + 6 = 666.

It is a super-3 number, since 3×72506952799776³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72506952799695 and 72506952799704.

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, 13409827665 + ... + 13409833071.

It is an arithmetic number, because the mean of its divisors is an integer number (602933647680).

Almost surely, 2^{72506952799776} 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 72506952799776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115763260354560).

72506952799776 is an abundant number, since it is smaller than the sum of its proper divisors (159019567909344).

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

72506952799776 is a wasteful number, since it uses less digits than its factorization.

72506952799776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10205 (or 10191 counting only the distinct ones).

The product of its (nonzero) digits is 6301184400, while the sum is 81.

The spelling of 72506952799776 in words is "seventy-two trillion, five hundred six billion, nine hundred fifty-two million, seven hundred ninety-nine thousand, seven hundred seventy-six".