72147457436240 has 40 divisors (see below), whose sum is σ = 167745373017480. Its totient is φ = 28858546935296.

The previous prime is 72147457436221. The next prime is 72147457436297. The reversal of 72147457436240 is 4263475474127.

It can be written as a sum of positive squares in 4 ways, for example, as 14819481753664 + 57327975682576 = 3849608^2 + 7571524^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×72147457436240² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1459139 + ... + 12100578.

It is an arithmetic number, because the mean of its divisors is an integer number (4193634325437).

Almost surely, 2^{72147457436240} is an apocalyptic number.

It is an amenable number.

72147457436240 is an abundant number, since it is smaller than the sum of its proper divisors (95597915581240).

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

72147457436240 is a wasteful number, since it uses less digits than its factorization.

72147457436240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13626239 (or 13626233 counting only the distinct ones).

The product of its (nonzero) digits is 31610880, while the sum is 56.

The spelling of 72147457436240 in words is "seventy-two trillion, one hundred forty-seven billion, four hundred fifty-seven million, four hundred thirty-six thousand, two hundred forty".