72590574512640 has 640 divisors, whose sum is σ = 239467950070272. Its totient is φ = 18750316216320.

The previous prime is 72590574512629. The next prime is 72590574512669. The reversal of 72590574512640 is 4621547509527.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30334547284 + ... + 30334549676.

Almost surely, 2^{72590574512640} 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 72590574512640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119733975035136).

72590574512640 is an abundant number, since it is smaller than the sum of its proper divisors (166877375557632).

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

72590574512640 is a wasteful number, since it uses less digits than its factorization.

72590574512640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3440 (or 3424 counting only the distinct ones).

The product of its (nonzero) digits is 21168000, while the sum is 57.

The spelling of 72590574512640 in words is "seventy-two trillion, five hundred ninety billion, five hundred seventy-four million, five hundred twelve thousand, six hundred forty".