72600338581 has 32 divisors (see below), whose sum is σ = 77655277568. Its totient is φ = 67772738880.

The previous prime is 72600338561. The next prime is 72600338599. The reversal of 72600338581 is 18583300627.

It is a 6-Lehmer number, since φ(72600338581) divides (72600338581-1)⁶.

It is a cyclic number.

It is not a de Polignac number, because 72600338581 - 2⁷ = 72600338453 is a prime.

It is a super-3 number, since 3×72600338581³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is the 269445-th Hogben number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72600338561) by changing a digit.

It is a nontrivial repunit in base 269444.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49353676 + ... + 49355146.

It is an arithmetic number, because the mean of its divisors is an integer number (2426727424).

Almost surely, 2^72600338581 is an apocalyptic number.

It is an amenable number.

72600338581 is a deficient number, since it is larger than the sum of its proper divisors (5054938987).

72600338581 is a wasteful number, since it uses less digits than its factorization.

72600338581 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2081.

The product of its (nonzero) digits is 241920, while the sum is 43.

The spelling of 72600338581 in words is "seventy-two billion, six hundred million, three hundred thirty-eight thousand, five hundred eighty-one".