72260659236480 has 1536 divisors, whose sum is σ = 279853044387840. Its totient is φ = 15745314816000.

The previous prime is 72260659236433. The next prime is 72260659236503. The reversal of 72260659236480 is 8463295606227.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 55972624635 + ... + 55972625925.

It is an arithmetic number, because the mean of its divisors is an integer number (182195992440).

Almost surely, 2^{72260659236480} 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 72260659236480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139926522193920).

72260659236480 is an abundant number, since it is smaller than the sum of its proper divisors (207592385151360).

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

72260659236480 is a wasteful number, since it uses less digits than its factorization.

72260659236480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1822 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 60.

The spelling of 72260659236480 in words is "seventy-two trillion, two hundred sixty billion, six hundred fifty-nine million, two hundred thirty-six thousand, four hundred eighty".