72976823147520 has 1056 divisors, whose sum is σ = 275457724738560. Its totient is φ = 18490009190400.

The previous prime is 72976823147519. The next prime is 72976823147563. The reversal of 72976823147520 is 2574132867927.

It is a happy number.

72976823147520 is a `hidden beast` number, since 7 + 2 + 9 + 7 + 68 + 2 + 3 + 1 + 47 + 520 = 666.

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 95 ways as a sum of consecutive naturals, for example, 4320959236 + ... + 4320976124.

It is a 1-persistent number, because it is pandigital, but 2⋅72976823147520 = 145953646295040 is not.

Almost surely, 2^{72976823147520} 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 72976823147520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137728862369280).

72976823147520 is an abundant number, since it is smaller than the sum of its proper divisors (202480901591040).

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

72976823147520 is a wasteful number, since it uses less digits than its factorization.

72976823147520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17103 (or 17073 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 72976823147520 in words is "seventy-two trillion, nine hundred seventy-six billion, eight hundred twenty-three million, one hundred forty-seven thousand, five hundred twenty".