72509241384 has 24 divisors (see below), whose sum is σ = 196379195610. Its totient is φ = 24169747104.

The previous prime is 72509241373. The next prime is 72509241407. The reversal of 72509241384 is 48314290527.

72509241384 is a `hidden beast` number, since 7 + 2 + 509 + 2 + 4 + 138 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 72108360900 + 400880484 = 268530^2 + 20022^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×72509241384³ (a number of 34 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 503536327 + ... + 503536470.

Almost surely, 2^72509241384 is an apocalyptic number.

It is an amenable number.

72509241384 is an abundant number, since it is smaller than the sum of its proper divisors (123869954226).

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

72509241384 is a wasteful number, since it uses less digits than its factorization.

72509241384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007072809 (or 1007072802 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 72509241384 in words is "seventy-two billion, five hundred nine million, two hundred forty-one thousand, three hundred eighty-four".