72100523520 has 200 divisors, whose sum is σ = 258242036184. Its totient is φ = 19226750976.

The previous prime is 72100523423. The next prime is 72100523587. The reversal of 72100523520 is 2532500127.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 33507 + ... + 381213.

Almost surely, 2^72100523520 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 72100523520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129121018092).

72100523520 is an abundant number, since it is smaller than the sum of its proper divisors (186141512664).

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

72100523520 is an equidigital number, since it uses as much as digits as its factorization.

72100523520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347742 (or 347717 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The spelling of 72100523520 in words is "seventy-two billion, one hundred million, five hundred twenty-three thousand, five hundred twenty".