72411737647140 has 72 divisors (see below), whose sum is σ = 219688869444408. Its totient is φ = 19306286208000.

The previous prime is 72411737647087. The next prime is 72411737647141. The reversal of 72411737647140 is 4174673711427.

72411737647140 is a `hidden beast` number, since 7 + 24 + 11 + 73 + 76 + 471 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6017140316196 + 66394597330944 = 2452986^2 + 8148288^2 .

It is not an unprimeable number, because it can be changed into a prime (72411737647141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35574757 + ... + 37555116.

It is an arithmetic number, because the mean of its divisors is an integer number (3051234297839).

Almost surely, 2^{72411737647140} is an apocalyptic number.

It is an amenable number.

72411737647140 is an abundant number, since it is smaller than the sum of its proper divisors (147277131797268).

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

72411737647140 is a wasteful number, since it uses less digits than its factorization.

72411737647140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73135389 (or 73135384 counting only the distinct ones).

The product of its (nonzero) digits is 5531904, while the sum is 54.

The spelling of 72411737647140 in words is "seventy-two trillion, four hundred eleven billion, seven hundred thirty-seven million, six hundred forty-seven thousand, one hundred forty".