72269360733024 has 1536 divisors, whose sum is σ = 277002348134400. Its totient is φ = 17799629783040.

The previous prime is 72269360733019. The next prime is 72269360733109. The reversal of 72269360733024 is 42033706396227.

72269360733024 is a `hidden beast` number, since 7 + 2 + 2 + 6 + 9 + 3 + 607 + 3 + 3 + 0 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 31683190764 + ... + 31683193044.

It is an arithmetic number, because the mean of its divisors is an integer number (180340070400).

Almost surely, 2^{72269360733024} 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 72269360733024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138501174067200).

72269360733024 is an abundant number, since it is smaller than the sum of its proper divisors (204732987401376).

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

72269360733024 is a wasteful number, since it uses less digits than its factorization.

72269360733024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2633 (or 2619 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 54.

The spelling of 72269360733024 in words is "seventy-two trillion, two hundred sixty-nine billion, three hundred sixty million, seven hundred thirty-three thousand, twenty-four".