72505835520 has 360 divisors, whose sum is σ = 240518168352. Its totient is φ = 18650234880.

The previous prime is 72505835491. The next prime is 72505835531. The reversal of 72505835520 is 2553850527.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 236175207 + ... + 236175513.

Almost surely, 2^72505835520 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 72505835520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120259084176).

72505835520 is an abundant number, since it is smaller than the sum of its proper divisors (168012332832).

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

72505835520 is an equidigital number, since it uses as much as digits as its factorization.

72505835520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 420000, while the sum is 42.

The spelling of 72505835520 in words is "seventy-two billion, five hundred five million, eight hundred thirty-five thousand, five hundred twenty".