72926706827520 has 2304 divisors, whose sum is σ = 329355673436160. Its totient is φ = 15056884039680.

The previous prime is 72926706827441. The next prime is 72926706827543. The reversal of 72926706827520 is 2572860762927.

72926706827520 is a `hidden beast` number, since 7 + 2 + 9 + 26 + 7 + 0 + 6 + 82 + 7 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 11972859675 + ... + 11972865765.

It is an arithmetic number, because the mean of its divisors is an integer number (142949511040).

Almost surely, 2^{72926706827520} is an apocalyptic number.

72926706827520 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 72926706827520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164677836718080).

72926706827520 is an abundant number, since it is smaller than the sum of its proper divisors (256428966608640).

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

72926706827520 is an equidigital number, since it uses as much as digits as its factorization.

72926706827520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6200 (or 6168 counting only the distinct ones).

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

The spelling of 72926706827520 in words is "seventy-two trillion, nine hundred twenty-six billion, seven hundred six million, eight hundred twenty-seven thousand, five hundred twenty".