72412614144 has 320 divisors, whose sum is σ = 240884582400. Its totient is φ = 21310857216.

The previous prime is 72412614139. The next prime is 72412614223. The reversal of 72412614144 is 44141621427.

72412614144 is a `hidden beast` number, since 7 + 24 + 1 + 2 + 614 + 14 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 72412614099 and 72412614108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4124617 + ... + 4142135.

It is an arithmetic number, because the mean of its divisors is an integer number (752764320).

Almost surely, 2^72412614144 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 72412614144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120442291200).

72412614144 is an abundant number, since it is smaller than the sum of its proper divisors (168471968256).

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

72412614144 is a wasteful number, since it uses less digits than its factorization.

72412614144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17582 (or 17560 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The spelling of 72412614144 in words is "seventy-two billion, four hundred twelve million, six hundred fourteen thousand, one hundred forty-four".