72411665620140 has 576 divisors, whose sum is σ = 276058125278208. Its totient is φ = 14925552998400.

The previous prime is 72411665620093. The next prime is 72411665620183. The reversal of 72411665620140 is 4102656611427.

72411665620140 is a `hidden beast` number, since 7 + 2 + 4 + 1 + 1 + 6 + 6 + 5 + 620 + 14 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 995901667 + ... + 995974373.

It is an arithmetic number, because the mean of its divisors is an integer number (479267578608).

Almost surely, 2^{72411665620140} is an apocalyptic number.

72411665620140 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72411665620140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138029062639104).

72411665620140 is an abundant number, since it is smaller than the sum of its proper divisors (203646459658068).

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

72411665620140 is a wasteful number, since it uses less digits than its factorization.

72411665620140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73318 (or 73313 counting only the distinct ones).

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

The spelling of 72411665620140 in words is "seventy-two trillion, four hundred eleven billion, six hundred sixty-five million, six hundred twenty thousand, one hundred forty".