72510678696960 has 528 divisors, whose sum is σ = 297774984963456. Its totient is φ = 16573867425792.

The previous prime is 72510678696959. The next prime is 72510678696977. The reversal of 72510678696960 is 6969687601527.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4546204 + ... + 12872036.

It is an arithmetic number, because the mean of its divisors is an integer number (563967774552).

Almost surely, 2^{72510678696960} is an apocalyptic number.

72510678696960 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 72510678696960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148887492481728).

72510678696960 is an abundant number, since it is smaller than the sum of its proper divisors (225264306266496).

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

72510678696960 is an equidigital number, since it uses as much as digits as its factorization.

72510678696960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8325880 (or 8325850 counting only the distinct ones).

The product of its (nonzero) digits is 411505920, while the sum is 72.

The spelling of 72510678696960 in words is "seventy-two trillion, five hundred ten billion, six hundred seventy-eight million, six hundred ninety-six thousand, nine hundred sixty".