72508977128448 has 704 divisors, whose sum is σ = 264344546672640. Its totient is φ = 19176851865600.

The previous prime is 72508977128443. The next prime is 72508977128459. The reversal of 72508977128448 is 84482177980527.

72508977128448 is a `hidden beast` number, since 7 + 2 + 5 + 0 + 8 + 97 + 71 + 28 + 448 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (72508977128443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 137728438 + ... + 138253898.

Almost surely, 2^{72508977128448} 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 72508977128448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132172273336320).

72508977128448 is an abundant number, since it is smaller than the sum of its proper divisors (191835569544192).

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

72508977128448 is a wasteful number, since it uses less digits than its factorization.

72508977128448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525551 (or 525527 counting only the distinct ones).

The product of its (nonzero) digits is 505774080, while the sum is 72.

The spelling of 72508977128448 in words is "seventy-two trillion, five hundred eight billion, nine hundred seventy-seven million, one hundred twenty-eight thousand, four hundred forty-eight".