72505606320 has 240 divisors, whose sum is σ = 279048806400. Its totient is φ = 16527131136.

The previous prime is 72505606319. The next prime is 72505606321. The reversal of 72505606320 is 2360650527.

It is a happy number.

72505606320 is a `hidden beast` number, since 7 + 25 + 0 + 5 + 606 + 3 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (72505606319) and next prime (72505606321).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (72505606321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1830081 + ... + 1869279.

It is an arithmetic number, because the mean of its divisors is an integer number (1162703360).

Almost surely, 2^72505606320 is an apocalyptic number.

72505606320 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 72505606320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139524403200).

72505606320 is an abundant number, since it is smaller than the sum of its proper divisors (206543200080).

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

72505606320 is a wasteful number, since it uses less digits than its factorization.

72505606320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39592 (or 39583 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 72505606320 in words is "seventy-two billion, five hundred five million, six hundred six thousand, three hundred twenty".