72762784530660 has 720 divisors, whose sum is σ = 286625424476160. Its totient is φ = 15359809006080.

The previous prime is 72762784530599. The next prime is 72762784530677. The reversal of 72762784530660 is 6603548726727.

72762784530660 is a `hidden beast` number, since 7 + 2 + 76 + 27 + 8 + 4 + 530 + 6 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 52259325 + ... + 53633595.

It is an arithmetic number, because the mean of its divisors is an integer number (398090867328).

Almost surely, 2^{72762784530660} is an apocalyptic number.

72762784530660 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 72762784530660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143312712238080).

72762784530660 is an abundant number, since it is smaller than the sum of its proper divisors (213862639945500).

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

72762784530660 is a wasteful number, since it uses less digits than its factorization.

72762784530660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1374358 (or 1374340 counting only the distinct ones).

The product of its (nonzero) digits is 142248960, while the sum is 63.

The spelling of 72762784530660 in words is "seventy-two trillion, seven hundred sixty-two billion, seven hundred eighty-four million, five hundred thirty thousand, six hundred sixty".