72408047431104 has 2016 divisors, whose sum is σ = 288587586635712. Its totient is φ = 17093099520000.

The previous prime is 72408047431103. The next prime is 72408047431133. The reversal of 72408047431104 is 40113474080427.

72408047431104 is a `hidden beast` number, since 7 + 2 + 40 + 8 + 0 + 474 + 31 + 104 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a self number, because there is not a number n which added to its sum of digits gives 72408047431104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72408047431103) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 21855732552 + ... + 21855735864.

It is an arithmetic number, because the mean of its divisors is an integer number (143148604482).

Almost surely, 2^{72408047431104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72408047431104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144293793317856).

72408047431104 is an abundant number, since it is smaller than the sum of its proper divisors (216179539204608).

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

72408047431104 is a wasteful number, since it uses less digits than its factorization.

72408047431104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3515 (or 3495 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

It can be divided in two parts, 724080 and 47431104, that added together give a palindrome (48155184).

The spelling of 72408047431104 in words is "seventy-two trillion, four hundred eight billion, forty-seven million, four hundred thirty-one thousand, one hundred four".