72207880140484 has 243 divisors, whose sum is σ = 152036836439943. Its totient is φ = 29979257616000.

The previous prime is 72207880140439. The next prime is 72207880140497. The reversal of 72207880140484 is 48404108870227.

The square root of 72207880140484 is 8497522.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 12537817010884 + 59670063129600 = 3540878^2 + 7724640^2 .

It is a super-3 number, since 3×72207880140484³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 103006961334 + ... + 103006962034.

Almost surely, 2^{72207880140484} is an apocalyptic number.

72207880140484 is the 8497522-nd square number.

It is an amenable number.

72207880140484 is an abundant number, since it is smaller than the sum of its proper divisors (79828956299459).

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

72207880140484 is a wasteful number, since it uses less digits than its factorization.

72207880140484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 6422528, while the sum is 55.

The spelling of 72207880140484 in words is "seventy-two trillion, two hundred seven billion, eight hundred eighty million, one hundred forty thousand, four hundred eighty-four".