72401040720064 has 28 divisors (see below), whose sum is σ = 164195217348304. Its totient is φ = 31029017451264.

The previous prime is 72401040720049. The next prime is 72401040720137. The reversal of 72401040720064 is 46002704010427.

It is a tau number, because it is divible by the number of its divisors (28).

It is a super-3 number, since 3×72401040720064³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 80804732499 + ... + 80804733394.

Almost surely, 2^{72401040720064} is an apocalyptic number.

It is an amenable number.

72401040720064 is an abundant number, since it is smaller than the sum of its proper divisors (91794176628240).

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

72401040720064 is a wasteful number, since it uses less digits than its factorization.

72401040720064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161609465912 (or 161609465902 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 37.

The spelling of 72401040720064 in words is "seventy-two trillion, four hundred one billion, forty million, seven hundred twenty thousand, sixty-four".