72789689262240 has 480 divisors, whose sum is σ = 270461483550720. Its totient is φ = 18385290233856.

The previous prime is 72789689262233. The next prime is 72789689262263. The reversal of 72789689262240 is 4226298698727.

72789689262240 is a `hidden beast` number, since 7 + 278 + 96 + 8 + 9 + 26 + 2 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1355031862 + ... + 1355085578.

It is an arithmetic number, because the mean of its divisors is an integer number (563461424064).

Almost surely, 2^{72789689262240} 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 72789689262240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135230741775360).

72789689262240 is an abundant number, since it is smaller than the sum of its proper divisors (197671794288480).

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

72789689262240 is a wasteful number, since it uses less digits than its factorization.

72789689262240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59266 (or 59249 counting only the distinct ones).

The product of its (nonzero) digits is 585252864, while the sum is 72.

The spelling of 72789689262240 in words is "seventy-two trillion, seven hundred eighty-nine billion, six hundred eighty-nine million, two hundred sixty-two thousand, two hundred forty".